134139253536 has 288 divisors, whose sum is σ = 395534346480. Its totient is φ = 43100209152.

The previous prime is 134139253513. The next prime is 134139253553. The reversal of 134139253536 is 635352931431.

134139253536 is a `hidden beast` number, since 1 + 34 + 1 + 39 + 2 + 53 + 536 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 80972117136 + 53167136400 = 284556^2 + 230580^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 134139253491 and 134139253500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398039160 + ... + 398039496.

Almost surely, 2^134139253536 is an apocalyptic number.

134139253536 is a gapful number since it is divisible by the number (16) 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 134139253536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197767173240).

134139253536 is an abundant number, since it is smaller than the sum of its proper divisors (261395092944).

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

134139253536 is a wasteful number, since it uses less digits than its factorization.

134139253536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 777 counting only the distinct ones).

The product of its digits is 874800, while the sum is 45.

The spelling of 134139253536 in words is "one hundred thirty-four billion, one hundred thirty-nine million, two hundred fifty-three thousand, five hundred thirty-six".