136521037440 has 1024 divisors, whose sum is σ = 539343360000. Its totient is φ = 32480870400.

The previous prime is 136521037399. The next prime is 136521037489. The reversal of 136521037440 is 44730125631.

136521037440 is a `hidden beast` number, since 1 + 36 + 5 + 210 + 374 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 136521037395 and 136521037404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 762687271 + ... + 762687449.

It is an arithmetic number, because the mean of its divisors is an integer number (526702500).

Almost surely, 2^136521037440 is an apocalyptic number.

136521037440 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 136521037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269671680000).

136521037440 is an abundant number, since it is smaller than the sum of its proper divisors (402822322560).

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

136521037440 is a wasteful number, since it uses less digits than its factorization.

136521037440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 136521037440 in words is "one hundred thirty-six billion, five hundred twenty-one million, thirty-seven thousand, four hundred forty".