151660398096 has 405 divisors, whose sum is σ = 477076712749. Its totient is φ = 44962722816.

The previous prime is 151660398061. The next prime is 151660398133. The reversal of 151660398096 is 690893066151.

The square root of 151660398096 is 389436.

It is a perfect power (a square), and thus also a powerful number.

151660398096 is a `hidden beast` number, since 1 + 5 + 166 + 0 + 398 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118074704400 + 33585693696 = 343620^2 + 183264^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1827233671 + ... + 1827233753.

Almost surely, 2^151660398096 is an apocalyptic number.

151660398096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

151660398096 is the 389436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151660398096

151660398096 is an abundant number, since it is smaller than the sum of its proper divisors (325416314653).

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

151660398096 is a wasteful number, since it uses less digits than its factorization.

151660398096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 151660398096 in words is "one hundred fifty-one billion, six hundred sixty million, three hundred ninety-eight thousand, ninety-six".