135921992976 has 1125 divisors, whose sum is σ = 532398458823. Its totient is φ = 33446286720.

The previous prime is 135921992903. The next prime is 135921993017. The reversal of 135921992976 is 679299129531.

The square root of 135921992976 is 368676.

It is a perfect power (a square), and thus also a powerful number.

135921992976 is a `hidden beast` number, since 1 + 3 + 592 + 19 + 9 + 29 + 7 + 6 = 666.

It is a super-3 number, since 3×135921992976³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (16533720) is a multiple of the sum of its prime divisors (42).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 7153789095 + ... + 7153789113.

Almost surely, 2^135921992976 is an apocalyptic number.

135921992976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

135921992976 is the 368676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135921992976

135921992976 is an abundant number, since it is smaller than the sum of its proper divisors (396476465847).

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

135921992976 is an equidigital number, since it uses as much as digits as its factorization.

135921992976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 42 counting only the distinct ones).

The product of its digits is 16533720, while the sum is 63.

The spelling of 135921992976 in words is "one hundred thirty-five billion, nine hundred twenty-one million, nine hundred ninety-two thousand, nine hundred seventy-six".