137438010427392 has 240 divisors, whose sum is σ = 418262648223420. Its totient is φ = 44948277264384.

The previous prime is 137438010427253. The next prime is 137438010427481. The reversal of 137438010427392 is 293724010834731.

137438010427392 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 380 + 104 + 2 + 73 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136364847031296 + 1073163396096 = 11677536^2 + 1035936^2 .

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 19 ways as a sum of consecutive naturals, for example, 976038 + ... + 16608090.

Almost surely, 2^{137438010427392} is an apocalyptic number.

137438010427392 is a gapful number since it is divisible by the number (12) 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 137438010427392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209131324111710).

137438010427392 is an abundant number, since it is smaller than the sum of its proper divisors (280824637796028).

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

137438010427392 is an equidigital number, since it uses as much as digits as its factorization.

137438010427392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15632140 (or 15632111 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 137438010427392 in words is "one hundred thirty-seven trillion, four hundred thirty-eight billion, ten million, four hundred twenty-seven thousand, three hundred ninety-two".