136125914496 has 384 divisors, whose sum is σ = 437644529280. Its totient is φ = 37140480000.

The previous prime is 136125914459. The next prime is 136125914501. The reversal of 136125914496 is 694419521631.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 29265771 + ... + 29270421.

It is an arithmetic number, because the mean of its divisors is an integer number (1139699295).

Almost surely, 2^136125914496 is an apocalyptic number.

136125914496 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 136125914496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218822264640).

136125914496 is an abundant number, since it is smaller than the sum of its proper divisors (301518614784).

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

136125914496 is a wasteful number, since it uses less digits than its factorization.

136125914496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4721 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The spelling of 136125914496 in words is "one hundred thirty-six billion, one hundred twenty-five million, nine hundred fourteen thousand, four hundred ninety-six".