149310766080 has 1056 divisors, whose sum is σ = 636323935104. Its totient is φ = 31595692032.

The previous prime is 149310766079. The next prime is 149310766081. The reversal of 149310766080 is 80667013941.

It is a happy number.

149310766080 is a `hidden beast` number, since 1 + 4 + 9 + 31 + 0 + 7 + 6 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (149310766079) and next prime (149310766081).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149310766081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 400296774 + ... + 400297146.

It is an arithmetic number, because the mean of its divisors is an integer number (602579484).

Almost surely, 2^149310766080 is an apocalyptic number.

149310766080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149310766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318161967552).

149310766080 is an abundant number, since it is smaller than the sum of its proper divisors (487013169024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149310766080 is a wasteful number, since it uses less digits than its factorization.

149310766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 149310766080 in words is "one hundred forty-nine billion, three hundred ten million, seven hundred sixty-six thousand, eighty".