137870326080 has 336 divisors, whose sum is σ = 493772177808. Its totient is φ = 35278848000.

The previous prime is 137870326003. The next prime is 137870326103. The reversal of 137870326080 is 80623078731.

137870326080 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 7 + 0 + 32 + 608 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 48129339456 + 89740986624 = 219384^2 + 299568^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7193310 + ... + 7212450.

It is an arithmetic number, because the mean of its divisors is an integer number (1469560053).

Almost surely, 2^137870326080 is an apocalyptic number.

137870326080 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 137870326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246886088904).

137870326080 is an abundant number, since it is smaller than the sum of its proper divisors (355901851728).

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

137870326080 is a wasteful number, since it uses less digits than its factorization.

137870326080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19266 (or 19253 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 137870326080 in words is "one hundred thirty-seven billion, eight hundred seventy million, three hundred twenty-six thousand, eighty".