151012865742336 has 320 divisors, whose sum is σ = 482705754854400. Its totient is φ = 46338867929088.

The previous prime is 151012865742259. The next prime is 151012865742371. The reversal of 151012865742336 is 633247568210151.

It is a happy number.

151012865742336 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 12 + 8 + 6 + 574 + 23 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64809475 + ... + 67099133.

It is an arithmetic number, because the mean of its divisors is an integer number (1508455483920).

Almost surely, 2^{151012865742336} is an apocalyptic number.

151012865742336 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 151012865742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241352877427200).

151012865742336 is an abundant number, since it is smaller than the sum of its proper divisors (331692889112064).

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

151012865742336 is a wasteful number, since it uses less digits than its factorization.

151012865742336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290066 (or 2290044 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 151012865742336 in words is "one hundred fifty-one trillion, twelve billion, eight hundred sixty-five million, seven hundred forty-two thousand, three hundred thirty-six".