151334413516557 has 20 divisors (see below), whose sum is σ = 226067788729596. Its totient is φ = 100889461068480.

The previous prime is 151334413516519. The next prime is 151334413516631. The reversal of 151334413516557 is 755615314433151.

151334413516557 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 3 + 4 + 41 + 35 + 16 + 557 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47728601970921 + 103605811545636 = 6908589^2 + 10178694^2 .

It is not a de Polignac number, because 151334413516557 - 2²² = 151334409322253 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151334413516157) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102922207 + ... + 104382227.

Almost surely, 2^{151334413516557} is an apocalyptic number.

It is an amenable number.

151334413516557 is a deficient number, since it is larger than the sum of its proper divisors (74733375213039).

151334413516557 is a wasteful number, since it uses less digits than its factorization.

151334413516557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739690 (or 2739681 counting only the distinct ones).

The product of its digits is 11340000, while the sum is 54.

The spelling of 151334413516557 in words is "one hundred fifty-one trillion, three hundred thirty-four billion, four hundred thirteen million, five hundred sixteen thousand, five hundred fifty-seven".