135364736000 has 176 divisors, whose sum is σ = 363687214800. Its totient is φ = 49980211200.

The previous prime is 135364735999. The next prime is 135364736057. The reversal of 135364736000 is 637463531.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 112917505024 + 22447230976 = 336032^2 + 149824^2 .

It is a super-2 number, since 2×135364736000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1623326 + ... + 1704674.

Almost surely, 2^135364736000 is an apocalyptic number.

135364736000 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 135364736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181843607400).

135364736000 is an abundant number, since it is smaller than the sum of its proper divisors (228322478800).

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

135364736000 is an equidigital number, since it uses as much as digits as its factorization.

135364736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81397 (or 81369 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 38.

The spelling of 135364736000 in words is "one hundred thirty-five billion, three hundred sixty-four million, seven hundred thirty-six thousand".