137000640 has 448 divisors, whose sum is σ = 555955200. Its totient is φ = 27869184.

The previous prime is 137000593. The next prime is 137000641. The reversal of 137000640 is 46000731.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (137000641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3702702 + ... + 3702738.

Almost surely, 2^137000640 is an apocalyptic number.

137000640 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 137000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277977600).

137000640 is an abundant number, since it is smaller than the sum of its proper divisors (418954560).

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

137000640 is a wasteful number, since it uses less digits than its factorization.

137000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 137000640 is about 11704.7272501327. The cubic root of 137000640 is about 515.5144762927.

Subtracting from 137000640 its reverse (46000731), we obtain a palindrome (90999909).

The spelling of 137000640 in words is "one hundred thirty-seven million, six hundred forty", and thus it is an aban number.