137359811837952 has 576 divisors, whose sum is σ = 450237797842560. Its totient is φ = 40281145344000.

The previous prime is 137359811837951. The next prime is 137359811837953. The reversal of 137359811837952 is 259738118953731.

137359811837952 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 5 + 98 + 118 + 379 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (137359811837951) and next prime (137359811837953).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (137359811837951) 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 35 ways as a sum of consecutive naturals, for example, 1106152827 + ... + 1106276997.

Almost surely, 2^{137359811837952} is an apocalyptic number.

137359811837952 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 137359811837952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225118898921280).

137359811837952 is an abundant number, since it is smaller than the sum of its proper divisors (312877986004608).

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

137359811837952 is a wasteful number, since it uses less digits than its factorization.

137359811837952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124260 (or 124218 counting only the distinct ones).

The product of its digits is 342921600, while the sum is 72.

The spelling of 137359811837952 in words is "one hundred thirty-seven trillion, three hundred fifty-nine billion, eight hundred eleven million, eight hundred thirty-seven thousand, nine hundred fifty-two".