135177612520 has 16 divisors (see below), whose sum is σ = 304149628260. Its totient is φ = 54071044992.

The previous prime is 135177612509. The next prime is 135177612529. The reversal of 135177612520 is 25216771531.

It can be written as a sum of positive squares in 2 ways, for example, as 122120893764 + 13056718756 = 349458^2 + 114266^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 3379440313 = 135177612520 / (1 + 3 + 5 + 1 + 7 + 7 + 6 + 1 + 2 + 5 + 2 + 0).

It is not an unprimeable number, because it can be changed into a prime (135177612529) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1689720117 + ... + 1689720196.

Almost surely, 2^135177612520 is an apocalyptic number.

135177612520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135177612520 is an abundant number, since it is smaller than the sum of its proper divisors (168972015740).

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

135177612520 is a wasteful number, since it uses less digits than its factorization.

135177612520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379440324 (or 3379440320 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The spelling of 135177612520 in words is "one hundred thirty-five billion, one hundred seventy-seven million, six hundred twelve thousand, five hundred twenty".