134725503358656 has 672 divisors, whose sum is σ = 467429897548800. Its totient is φ = 37935237150720.

The previous prime is 134725503358639. The next prime is 134725503358679. The reversal of 134725503358656 is 656853305527431.

134725503358656 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 25 + 503 + 3 + 58 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×134725503358656² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 134725503358593 and 134725503358602.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3658912726 + ... + 3658949546.

Almost surely, 2^{134725503358656} is an apocalyptic number.

134725503358656 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 134725503358656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233714948774400).

134725503358656 is an abundant number, since it is smaller than the sum of its proper divisors (332704394190144).

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

134725503358656 is a wasteful number, since it uses less digits than its factorization.

134725503358656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37482 (or 37459 counting only the distinct ones).

The product of its (nonzero) digits is 272160000, while the sum is 63.

The spelling of 134725503358656 in words is "one hundred thirty-four trillion, seven hundred twenty-five billion, five hundred three million, three hundred fifty-eight thousand, six hundred fifty-six".