151640911296 has 896 divisors, whose sum is σ = 547059916800. Its totient is φ = 40794513408.

The previous prime is 151640911237. The next prime is 151640911297. The reversal of 151640911296 is 692119046151.

151640911296 is a `hidden beast` number, since 1 + 516 + 4 + 0 + 9 + 1 + 129 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151640911297) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1703830420 + ... + 1703830508.

Almost surely, 2^151640911296 is an apocalyptic number.

151640911296 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 151640911296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273529958400).

151640911296 is an abundant number, since it is smaller than the sum of its proper divisors (395419005504).

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

151640911296 is an frugal number, since it uses more digits than its factorization.

151640911296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 151640911296 in words is "one hundred fifty-one billion, six hundred forty million, nine hundred eleven thousand, two hundred ninety-six".