137937841920 has 432 divisors, whose sum is σ = 502389363840. Its totient is φ = 36228943872.

The previous prime is 137937841919. The next prime is 137937841931. The reversal of 137937841920 is 29148739731.

137937841920 is a `hidden beast` number, since 1 + 379 + 3 + 7 + 84 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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, 20836371 + ... + 20842989.

Almost surely, 2^137937841920 is an apocalyptic number.

137937841920 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 137937841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251194681920).

137937841920 is an abundant number, since it is smaller than the sum of its proper divisors (364451521920).

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

137937841920 is an frugal number, since it uses more digits than its factorization.

137937841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6722 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 137937841920 in words is "one hundred thirty-seven billion, nine hundred thirty-seven million, eight hundred forty-one thousand, nine hundred twenty".