151982157936 has 320 divisors, whose sum is σ = 493784268800. Its totient is φ = 39303014400.

The previous prime is 151982157919. The next prime is 151982157947. The reversal of 151982157936 is 639751289151.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15629556 + ... + 15639276.

It is an arithmetic number, because the mean of its divisors is an integer number (1543075840).

Almost surely, 2^151982157936 is an apocalyptic number.

151982157936 is a gapful number since it is divisible by the number (16) 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 151982157936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246892134400).

151982157936 is an abundant number, since it is smaller than the sum of its proper divisors (341802110864).

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

151982157936 is a wasteful number, since it uses less digits than its factorization.

151982157936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9868 (or 9862 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 57.

The spelling of 151982157936 in words is "one hundred fifty-one billion, nine hundred eighty-two million, one hundred fifty-seven thousand, nine hundred thirty-six".