134752515408 has 160 divisors (see below), whose sum is σ = 443944800000. Its totient is φ = 38335279104.

The previous prime is 134752515371. The next prime is 134752515409. The reversal of 134752515408 is 804515257431.

134752515408 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 52 + 51 + 540 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134752515409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608968 + ... + 800216.

It is an arithmetic number, because the mean of its divisors is an integer number (2774655000).

Almost surely, 2^134752515408 is an apocalyptic number.

134752515408 is a gapful number since it is divisible by the number (18) 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 134752515408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221972400000).

134752515408 is an abundant number, since it is smaller than the sum of its proper divisors (309192284592).

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

134752515408 is a wasteful number, since it uses less digits than its factorization.

134752515408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191506 (or 191494 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 134752515408 in words is "one hundred thirty-four billion, seven hundred fifty-two million, five hundred fifteen thousand, four hundred eight".