137740857311232 has 1632 divisors, whose sum is σ = 483663314534400. Its totient is φ = 36956767518720.

The previous prime is 137740857311227. The next prime is 137740857311237. The reversal of 137740857311232 is 232113758047731.

137740857311232 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 40 + 8 + 57 + 311 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (137740857311227) and next prime (137740857311237).

It is a super-3 number, since 3×137740857311232³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137740857311237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 924435283894 + ... + 924435284042.

Almost surely, 2^{137740857311232} is an apocalyptic number.

137740857311232 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 137740857311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241831657267200).

137740857311232 is an abundant number, since it is smaller than the sum of its proper divisors (345922457223168).

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

137740857311232 is a wasteful number, since it uses less digits than its factorization.

137740857311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 137740857311232 in words is "one hundred thirty-seven trillion, seven hundred forty billion, eight hundred fifty-seven million, three hundred eleven thousand, two hundred thirty-two".