137145902449920 has 864 divisors, whose sum is σ = 556701627508992. Its totient is φ = 28154182238208.

The previous prime is 137145902449909. The next prime is 137145902449967. The reversal of 137145902449920 is 29944209541731.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167672664 + ... + 168488616.

Almost surely, 2^{137145902449920} is an apocalyptic number.

137145902449920 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 137145902449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278350813754496).

137145902449920 is an abundant number, since it is smaller than the sum of its proper divisors (419555725059072).

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

137145902449920 is a wasteful number, since it uses less digits than its factorization.

137145902449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816047 (or 816020 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 137145902449920 in words is "one hundred thirty-seven trillion, one hundred forty-five billion, nine hundred two million, four hundred forty-nine thousand, nine hundred twenty".