137339985240 has 256 divisors, whose sum is σ = 481619520000. Its totient is φ = 34761291264.

The previous prime is 137339985239. The next prime is 137339985313. The reversal of 137339985240 is 42589933731.

137339985240 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 399 + 8 + 5 + 240 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 1810719 + ... + 1885041.

It is an arithmetic number, because the mean of its divisors is an integer number (1881326250).

Almost surely, 2^137339985240 is an apocalyptic number.

137339985240 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 137339985240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240809760000).

137339985240 is an abundant number, since it is smaller than the sum of its proper divisors (344279534760).

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

137339985240 is a wasteful number, since it uses less digits than its factorization.

137339985240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74431 (or 74421 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 137339985240 in words is "one hundred thirty-seven billion, three hundred thirty-nine million, nine hundred eighty-five thousand, two hundred forty".