151356029540352 has 576 divisors, whose sum is σ = 507009923652960. Its totient is φ = 39799275651072.

The previous prime is 151356029540329. The next prime is 151356029540369. The reversal of 151356029540352 is 253045920653151.

It is a junction number, because it is equal to n+sod(n) for n = 151356029540295 and 151356029540304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1318868958 + ... + 1318983714.

Almost surely, 2^{151356029540352} is an apocalyptic number.

151356029540352 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 151356029540352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253504961826480).

151356029540352 is an abundant number, since it is smaller than the sum of its proper divisors (355653894112608).

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

151356029540352 is a wasteful number, since it uses less digits than its factorization.

151356029540352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115146 (or 115119 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 51.

The spelling of 151356029540352 in words is "one hundred fifty-one trillion, three hundred fifty-six billion, twenty-nine million, five hundred forty thousand, three hundred fifty-two".