137652606000 has 960 divisors, whose sum is σ = 623006791680. Its totient is φ = 27508377600.

The previous prime is 137652605941. The next prime is 137652606017. The reversal of 137652606000 is 606256731.

137652606000 is a `hidden beast` number, since 1 + 3 + 76 + 526 + 0 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31119789 + ... + 31124211.

It is an arithmetic number, because the mean of its divisors is an integer number (648965408).

Almost surely, 2^137652606000 is an apocalyptic number.

137652606000 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 137652606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311503395840).

137652606000 is an abundant number, since it is smaller than the sum of its proper divisors (485354185680).

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

137652606000 is a wasteful number, since it uses less digits than its factorization.

137652606000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491 (or 4472 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 137652606000 in words is "one hundred thirty-seven billion, six hundred fifty-two million, six hundred six thousand".