136013459920 has 320 divisors, whose sum is σ = 370618778880. Its totient is φ = 45969408000.

The previous prime is 136013459891. The next prime is 136013459921. The reversal of 136013459920 is 29954310631.

It is a happy number.

It is a super-2 number, since 2×136013459920² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136013459921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105354475 + ... + 105355765.

It is an arithmetic number, because the mean of its divisors is an integer number (1158183684).

Almost surely, 2^136013459920 is an apocalyptic number.

136013459920 is a gapful number since it is divisible by the number (10) 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 136013459920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185309389440).

136013459920 is an abundant number, since it is smaller than the sum of its proper divisors (234605318960).

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

136013459920 is a wasteful number, since it uses less digits than its factorization.

136013459920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 43.

The spelling of 136013459920 in words is "one hundred thirty-six billion, thirteen million, four hundred fifty-nine thousand, nine hundred twenty".