137647156140 has 768 divisors, whose sum is σ = 493807104000. Its totient is φ = 31592816640.

The previous prime is 137647156091. The next prime is 137647156147. The reversal of 137647156140 is 41651746731.

It is a happy number.

137647156140 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 47 + 1 + 561 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (137647156147) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1286421967 + ... + 1286422073.

It is an arithmetic number, because the mean of its divisors is an integer number (642978000).

Almost surely, 2^137647156140 is an apocalyptic number.

137647156140 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 137647156140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246903552000).

137647156140 is an abundant number, since it is smaller than the sum of its proper divisors (356159947860).

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

137647156140 is a wasteful number, since it uses less digits than its factorization.

137647156140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 137647156140 in words is "one hundred thirty-seven billion, six hundred forty-seven million, one hundred fifty-six thousand, one hundred forty".