137952640 has 192 divisors, whose sum is σ = 395584560. Its totient is φ = 45846528.

The previous prime is 137952601. The next prime is 137952641. The reversal of 137952640 is 46259731.

It is a self number, because there is not a number n which added to its sum of digits gives 137952640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137952641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1662039 + ... + 1662121.

Almost surely, 2^137952640 is an apocalyptic number.

137952640 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 137952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197792280).

137952640 is an abundant number, since it is smaller than the sum of its proper divisors (257631920).

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

137952640 is an equidigital number, since it uses as much as digits as its factorization.

137952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 137952640 is about 11745.3241760285. The cubic root of 137952640 is about 516.7058025622.

The spelling of 137952640 in words is "one hundred thirty-seven million, nine hundred fifty-two thousand, six hundred forty".