135334177920 has 160 divisors (see below), whose sum is σ = 483302969820. Its totient is φ = 36089100288.

The previous prime is 135334177903. The next prime is 135334177943. The reversal of 135334177920 is 29771433531.

135334177920 is a `hidden beast` number, since 1 + 3 + 533 + 41 + 7 + 79 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108314708544 + 27019469376 = 329112^2 + 164376^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1253467 + ... + 1357146.

Almost surely, 2^135334177920 is an apocalyptic number.

135334177920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135334177920 is an abundant number, since it is smaller than the sum of its proper divisors (347968791900).

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

135334177920 is an equidigital number, since it uses as much as digits as its factorization.

135334177920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610644 (or 2610623 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 135334177920 in words is "one hundred thirty-five billion, three hundred thirty-four million, one hundred seventy-seven thousand, nine hundred twenty".