137920992300 has 864 divisors, whose sum is σ = 558330153472. Its totient is φ = 28755025920.

The previous prime is 137920992289. The next prime is 137920992311. The reversal of 137920992300 is 3299029731.

It is a happy number.

137920992300 is a `hidden beast` number, since 137 + 9 + 209 + 9 + 2 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (137920992289) and next prime (137920992311).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 214495779 + ... + 214496421.

Almost surely, 2^137920992300 is an apocalyptic number.

137920992300 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 137920992300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279165076736).

137920992300 is an abundant number, since it is smaller than the sum of its proper divisors (420409161172).

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

137920992300 is a wasteful number, since it uses less digits than its factorization.

137920992300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 137920992300 in words is "one hundred thirty-seven billion, nine hundred twenty million, nine hundred ninety-two thousand, three hundred".