151532156160 has 2304 divisors, whose sum is σ = 733720780800. Its totient is φ = 29023764480.

The previous prime is 151532156147. The next prime is 151532156177. The reversal of 151532156160 is 61651235151.

151532156160 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 32 + 1 + 5 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4095463662 + ... + 4095463698.

It is an arithmetic number, because the mean of its divisors is an integer number (318455200).

Almost surely, 2^151532156160 is an apocalyptic number.

151532156160 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 151532156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366860390400).

151532156160 is an abundant number, since it is smaller than the sum of its proper divisors (582188624640).

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

151532156160 is an equidigital number, since it uses as much as digits as its factorization.

151532156160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 151532156160 in words is "one hundred fifty-one billion, five hundred thirty-two million, one hundred fifty-six thousand, one hundred sixty".