151157027664 has 400 divisors, whose sum is σ = 459483216192. Its totient is φ = 47929522176.

The previous prime is 151157027653. The next prime is 151157027669. The reversal of 151157027664 is 466720751151.

151157027664 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 570 + 2 + 76 + 6 + 4 = 666.

It is a super-3 number, since 3×151157027664³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151157027669) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 648742492 + ... + 648742724.

Almost surely, 2^151157027664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151157027664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229741608096).

151157027664 is an abundant number, since it is smaller than the sum of its proper divisors (308326188528).

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

151157027664 is a wasteful number, since it uses less digits than its factorization.

151157027664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 151157027664 in words is "one hundred fifty-one billion, one hundred fifty-seven million, twenty-seven thousand, six hundred sixty-four".