137513350296 has 192 divisors, whose sum is σ = 445595904000. Its totient is φ = 39179004480.

The previous prime is 137513350211. The next prime is 137513350297. The reversal of 137513350296 is 692053315731.

137513350296 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 1 + 3 + 350 + 296 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137513350297) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3781561 + ... + 3817751.

It is an arithmetic number, because the mean of its divisors is an integer number (2320812000).

Almost surely, 2^137513350296 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 137513350296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222797952000).

137513350296 is an abundant number, since it is smaller than the sum of its proper divisors (308082553704).

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

137513350296 is a wasteful number, since it uses less digits than its factorization.

137513350296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36579 (or 36562 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 137513350296 in words is "one hundred thirty-seven billion, five hundred thirteen million, three hundred fifty thousand, two hundred ninety-six".