151007637312 has 448 divisors, whose sum is σ = 521910259200. Its totient is φ = 41923215360.

The previous prime is 151007637307. The next prime is 151007637329. The reversal of 151007637312 is 213736700151.

151007637312 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 0 + 7 + 637 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69877512 + ... + 69879672.

Almost surely, 2^151007637312 is an apocalyptic number.

151007637312 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 151007637312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260955129600).

151007637312 is an abundant number, since it is smaller than the sum of its proper divisors (370902621888).

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

151007637312 is a wasteful number, since it uses less digits than its factorization.

151007637312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 151007637312 in words is "one hundred fifty-one billion, seven million, six hundred thirty-seven thousand, three hundred twelve".