137530926624 has 192 divisors, whose sum is σ = 458664837120. Its totient is φ = 35101762560.

The previous prime is 137530926623. The next prime is 137530926629. The reversal of 137530926624 is 426629035731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (137530926623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16897 + ... + 524735.

It is an arithmetic number, because the mean of its divisors is an integer number (2388879360).

Almost surely, 2^137530926624 is an apocalyptic number.

137530926624 is a gapful number since it is divisible by the number (14) 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 137530926624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229332418560).

137530926624 is an abundant number, since it is smaller than the sum of its proper divisors (321133910496).

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

137530926624 is a wasteful number, since it uses less digits than its factorization.

137530926624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507903 (or 507895 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 48.

The spelling of 137530926624 in words is "one hundred thirty-seven billion, five hundred thirty million, nine hundred twenty-six thousand, six hundred twenty-four".