137925918720 has 640 divisors, whose sum is σ = 521459373600. Its totient is φ = 34780741632.

The previous prime is 137925918719. The next prime is 137925918733. The reversal of 137925918720 is 27819529731.

It is a happy number.

137925918720 is a `hidden beast` number, since 1 + 379 + 259 + 18 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 252149487 + ... + 252150033.

Almost surely, 2^137925918720 is an apocalyptic number.

137925918720 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 137925918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260729686800).

137925918720 is an abundant number, since it is smaller than the sum of its proper divisors (383533454880).

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

137925918720 is an frugal number, since it uses more digits than its factorization.

137925918720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 137925918720 in words is "one hundred thirty-seven billion, nine hundred twenty-five million, nine hundred eighteen thousand, seven hundred twenty".