137956299120 has 320 divisors, whose sum is σ = 487897344000. Its totient is φ = 35814804480.

The previous prime is 137956299109. The next prime is 137956299121. The reversal of 137956299120 is 21992659731.

137956299120 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 5 + 629 + 9 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137956299121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14992281 + ... + 15001479.

It is an arithmetic number, because the mean of its divisors is an integer number (1524679200).

Almost surely, 2^137956299120 is an apocalyptic number.

137956299120 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 137956299120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243948672000).

137956299120 is an abundant number, since it is smaller than the sum of its proper divisors (349941044880).

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

137956299120 is a wasteful number, since it uses less digits than its factorization.

137956299120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9405 (or 9393 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 137956299120 in words is "one hundred thirty-seven billion, nine hundred fifty-six million, two hundred ninety-nine thousand, one hundred twenty".