137857093346592 has 168 divisors, whose sum is σ = 406933966530000. Its totient is φ = 45951134993280.

The previous prime is 137857093346579. The next prime is 137857093346593. The reversal of 137857093346592 is 295643390758731.

137857093346592 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 5 + 70 + 9 + 3 + 3 + 465 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 137857093346592.

It is not an unprimeable number, because it can be changed into a prime (137857093346593) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1413884659 + ... + 1413982157.

It is an arithmetic number, because the mean of its divisors is an integer number (2422225991250).

It is a 1-persistent number, because it is pandigital, but 2⋅137857093346592 = 275714186693184 is not.

Almost surely, 2^{137857093346592} is an apocalyptic number.

137857093346592 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 137857093346592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203466983265000).

137857093346592 is an abundant number, since it is smaller than the sum of its proper divisors (269076873183408).

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

137857093346592 is an frugal number, since it uses more digits than its factorization.

137857093346592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158138 (or 158115 counting only the distinct ones).

The product of its (nonzero) digits is 1028764800, while the sum is 72.

The spelling of 137857093346592 in words is "one hundred thirty-seven trillion, eight hundred fifty-seven billion, ninety-three million, three hundred forty-six thousand, five hundred ninety-two".