137513800224 has 384 divisors, whose sum is σ = 432979706880. Its totient is φ = 42305421312.

The previous prime is 137513800219. The next prime is 137513800253. The reversal of 137513800224 is 422008315731.

137513800224 is a `hidden beast` number, since 1 + 3 + 7 + 51 + 380 + 0 + 224 = 666.

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

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, 297005817 + ... + 297006279.

It is an arithmetic number, because the mean of its divisors is an integer number (1127551320).

Almost surely, 2^137513800224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137513800224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216489853440).

137513800224 is an abundant number, since it is smaller than the sum of its proper divisors (295465906656).

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

137513800224 is a wasteful number, since it uses less digits than its factorization.

137513800224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 137513800224 in words is "one hundred thirty-seven billion, five hundred thirteen million, eight hundred thousand, two hundred twenty-four".