137640360 has 192 divisors, whose sum is σ = 488566080. Its totient is φ = 30750720.

The previous prime is 137640359. The next prime is 137640367. The reversal of 137640360 is 63046731.

It is a hoax number, since the sum of its digits (30) 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 (30).

It is not an unprimeable number, because it can be changed into a prime (137640367) 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 47 ways as a sum of consecutive naturals, for example, 222772 + ... + 223388.

It is an arithmetic number, because the mean of its divisors is an integer number (2544615).

Almost surely, 2^137640360 is an apocalyptic number.

137640360 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 137640360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244283040).

137640360 is an abundant number, since it is smaller than the sum of its proper divisors (350925720).

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

137640360 is a wasteful number, since it uses less digits than its factorization.

137640360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 137640360 is about 11732.0228434827. The cubic root of 137640360 is about 516.3156232596.

The spelling of 137640360 in words is "one hundred thirty-seven million, six hundred forty thousand, three hundred sixty".