134795524032 has 280 divisors, whose sum is σ = 431425697472. Its totient is φ = 41368320000.

The previous prime is 134795524013. The next prime is 134795524079. The reversal of 134795524032 is 230425597431.

It is a happy number.

134795524032 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 95 + 524 + 0 + 32 = 666.

It is a super-2 number, since 2×134795524032² (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 (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28369657 + ... + 28374407.

Almost surely, 2^134795524032 is an apocalyptic number.

134795524032 is a gapful number since it is divisible by the number (12) 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 134795524032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215712848736).

134795524032 is an abundant number, since it is smaller than the sum of its proper divisors (296630173440).

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

134795524032 is a wasteful number, since it uses less digits than its factorization.

134795524032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209 (or 5190 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

It can be divided in two parts, 13479552 and 4032, that added together give a square (13483584 = 3672²).

The spelling of 134795524032 in words is "one hundred thirty-four billion, seven hundred ninety-five million, five hundred twenty-four thousand, thirty-two".