137345545920 has 448 divisors, whose sum is σ = 508391769600. Its totient is φ = 31045386240.

The previous prime is 137345545913. The next prime is 137345545933. The reversal of 137345545920 is 29545543731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 137345545920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19564171 + ... + 19571189.

Almost surely, 2^137345545920 is an apocalyptic number.

137345545920 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 137345545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254195884800).

137345545920 is an abundant number, since it is smaller than the sum of its proper divisors (371046223680).

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

137345545920 is a wasteful number, since it uses less digits than its factorization.

137345545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7176 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 137345545920 in words is "one hundred thirty-seven billion, three hundred forty-five million, five hundred forty-five thousand, nine hundred twenty".