137004259860 has 144 divisors (see below), whose sum is σ = 447938400000. Its totient is φ = 33694652160.

The previous prime is 137004259759. The next prime is 137004259877. The reversal of 137004259860 is 68952400731.

137004259860 is a `hidden beast` number, since 13 + 7 + 0 + 0 + 42 + 598 + 6 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2715141 + ... + 2765139.

It is a 1-persistent number, because it is pandigital, but 2⋅137004259860 = 274008519720 is not.

Almost surely, 2^137004259860 is an apocalyptic number.

137004259860 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 137004259860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223969200000).

137004259860 is an abundant number, since it is smaller than the sum of its proper divisors (310934140140).

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

137004259860 is a wasteful number, since it uses less digits than its factorization.

137004259860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51198 (or 51193 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 137004259860 in words is "one hundred thirty-seven billion, four million, two hundred fifty-nine thousand, eight hundred sixty".