134525626561152 has 512 divisors, whose sum is σ = 432719275680000. Its totient is φ = 40971713642496.

The previous prime is 134525626561133. The next prime is 134525626561201. The reversal of 134525626561152 is 251165626525431.

134525626561152 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 2 + 5 + 6 + 26 + 561 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 975978063 + ... + 976115889.

Almost surely, 2^{134525626561152} is an apocalyptic number.

134525626561152 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 134525626561152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216359637840000).

134525626561152 is an abundant number, since it is smaller than the sum of its proper divisors (298193649118848).

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

134525626561152 is a wasteful number, since it uses less digits than its factorization.

134525626561152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138353 (or 138335 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 134525626561152 in words is "one hundred thirty-four trillion, five hundred twenty-five billion, six hundred twenty-six million, five hundred sixty-one thousand, one hundred fifty-two".