151388160 has 288 divisors, whose sum is σ = 603977472. Its totient is φ = 31457280.

The previous prime is 151388137. The next prime is 151388161. The reversal of 151388160 is 61883151.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151388161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13762555 + ... + 13762565.

It is an arithmetic number, because the mean of its divisors is an integer number (2097144).

Almost surely, 2^151388160 is an apocalyptic number.

151388160 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 151388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301988736).

151388160 is an abundant number, since it is smaller than the sum of its proper divisors (452589312).

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

151388160 is an frugal number, since it uses more digits than its factorization.

151388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 151388160 is about 12303.9895968747. The cubic root of 151388160 is about 532.9632988796.

The spelling of 151388160 in words is "one hundred fifty-one million, three hundred eighty-eight thousand, one hundred sixty".