151877037312 has 1152 divisors, whose sum is σ = 612721213440. Its totient is φ = 36279705600.

The previous prime is 151877037233. The next prime is 151877037331. The reversal of 151877037312 is 213730778151.

151877037312 is a `hidden beast` number, since 1 + 518 + 7 + 70 + 37 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 560431737 + ... + 560432007.

Almost surely, 2^151877037312 is an apocalyptic number.

151877037312 is a gapful number since it is divisible by the number (12) 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 151877037312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306360606720).

151877037312 is an abundant number, since it is smaller than the sum of its proper divisors (460844176128).

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

151877037312 is an equidigital number, since it uses as much as digits as its factorization.

151877037312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 151877037312 in words is "one hundred fifty-one billion, eight hundred seventy-seven million, thirty-seven thousand, three hundred twelve".