151927257664 has 168 divisors, whose sum is σ = 392731995840. Its totient is φ = 56939231232.

The previous prime is 151927257631. The next prime is 151927257697. The reversal of 151927257664 is 466752729151.

151927257664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (151927257631) and next prime (151927257697).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1385722 + ... + 1491334.

Almost surely, 2^151927257664 is an apocalyptic number.

151927257664 is a gapful number since it is divisible by the number (14) 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 151927257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196365997920).

151927257664 is an abundant number, since it is smaller than the sum of its proper divisors (240804738176).

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

151927257664 is a wasteful number, since it uses less digits than its factorization.

151927257664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105677 (or 105654 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 55.

The spelling of 151927257664 in words is "one hundred fifty-one billion, nine hundred twenty-seven million, two hundred fifty-seven thousand, six hundred sixty-four".