137927330140320 has 1152 divisors, whose sum is σ = 572546729664000. Its totient is φ = 29534200528896.

The previous prime is 137927330140319. The next prime is 137927330140367. The reversal of 137927330140320 is 23041033729731.

137927330140320 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 273 + 301 + 40 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29668169356 + ... + 29668174004.

It is an arithmetic number, because the mean of its divisors is an integer number (497002369500).

Almost surely, 2^{137927330140320} is an apocalyptic number.

137927330140320 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 137927330140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286273364832000).

137927330140320 is an abundant number, since it is smaller than the sum of its proper divisors (434619399523680).

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

137927330140320 is a wasteful number, since it uses less digits than its factorization.

137927330140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6390 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 137927330140320 in words is "one hundred thirty-seven trillion, nine hundred twenty-seven billion, three hundred thirty million, one hundred forty thousand, three hundred twenty".