151906961453520 has 1200 divisors, whose sum is σ = 596928770488512. Its totient is φ = 31940012482560.

The previous prime is 151906961453491. The next prime is 151906961453531. The reversal of 151906961453520 is 25354169609151.

It is a super-2 number, since 2×151906961453520² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 29897057380 + ... + 29897062460.

Almost surely, 2^{151906961453520} is an apocalyptic number.

151906961453520 is a gapful number since it is divisible by the number (10) 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 151906961453520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298464385244256).

151906961453520 is an abundant number, since it is smaller than the sum of its proper divisors (445021809034992).

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

151906961453520 is a wasteful number, since it uses less digits than its factorization.

151906961453520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5458 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 57.

The spelling of 151906961453520 in words is "one hundred fifty-one trillion, nine hundred six billion, nine hundred sixty-one million, four hundred fifty-three thousand, five hundred twenty".