137276640 has 192 divisors, whose sum is σ = 492307200. Its totient is φ = 35707392.

The previous prime is 137276639. The next prime is 137276647. The reversal of 137276640 is 46672731.

137276640 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 7 + 6 + 640 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 137276595 and 137276604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137276647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185391 + ... + 186129.

It is an arithmetic number, because the mean of its divisors is an integer number (2564100).

Almost surely, 2^137276640 is an apocalyptic number.

137276640 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 137276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246153600).

137276640 is an abundant number, since it is smaller than the sum of its proper divisors (355030560).

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

137276640 is a wasteful number, since it uses less digits than its factorization.

137276640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 137276640 is about 11716.5114261883. The cubic root of 137276640 is about 515.8604273667.

The spelling of 137276640 in words is "one hundred thirty-seven million, two hundred seventy-six thousand, six hundred forty".