135977963520 has 936 divisors, whose sum is σ = 534088847232. Its totient is φ = 29438115840.

The previous prime is 135977963519. The next prime is 135977963581. The reversal of 135977963520 is 25369779531.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2893148137 + ... + 2893148183.

Almost surely, 2^135977963520 is an apocalyptic number.

135977963520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135977963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267044423616).

135977963520 is an abundant number, since it is smaller than the sum of its proper divisors (398110883712).

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

135977963520 is an equidigital number, since it uses as much as digits as its factorization.

135977963520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 10716300, while the sum is 57.

The spelling of 135977963520 in words is "one hundred thirty-five billion, nine hundred seventy-seven million, nine hundred sixty-three thousand, five hundred twenty".