150795380400 has 240 divisors, whose sum is σ = 556405530624. Its totient is φ = 34195875840.

The previous prime is 150795380369. The next prime is 150795380423. The reversal of 150795380400 is 4083597051.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 996124 + ... + 1137476.

Almost surely, 2^150795380400 is an apocalyptic number.

150795380400 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 150795380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278202765312).

150795380400 is an abundant number, since it is smaller than the sum of its proper divisors (405610150224).

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

150795380400 is a wasteful number, since it uses less digits than its factorization.

150795380400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141508 (or 141497 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 150795380400 in words is "one hundred fifty billion, seven hundred ninety-five million, three hundred eighty thousand, four hundred".