137150681824 has 288 divisors, whose sum is σ = 312279105600. Its totient is φ = 59175567360.

The previous prime is 137150681819. The next prime is 137150681869. The reversal of 137150681824 is 428186051731.

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, 1213722792 + ... + 1213722904.

It is an arithmetic number, because the mean of its divisors is an integer number (1084302450).

Almost surely, 2^137150681824 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 137150681824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156139552800).

137150681824 is an abundant number, since it is smaller than the sum of its proper divisors (175128423776).

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

137150681824 is a wasteful number, since it uses less digits than its factorization.

137150681824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 137150681824 in words is "one hundred thirty-seven billion, one hundred fifty million, six hundred eighty-one thousand, eight hundred twenty-four".