137962440 has 480 divisors, whose sum is σ = 595900800. Its totient is φ = 28304640.

The previous prime is 137962427. The next prime is 137962453. The reversal of 137962440 is 44269731.

It is an interprime number because it is at equal distance from previous prime (137962427) and next prime (137962453).

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 = 137962395 and 137962404.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1746321 + ... + 1746399.

It is an arithmetic number, because the mean of its divisors is an integer number (1241460).

Almost surely, 2^137962440 is an apocalyptic number.

137962440 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 137962440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297950400).

137962440 is an abundant number, since it is smaller than the sum of its proper divisors (457938360).

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

137962440 is a wasteful number, since it uses less digits than its factorization.

137962440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 137962440 is about 11745.7413559128. The cubic root of 137962440 is about 516.7180376716.

The spelling of 137962440 in words is "one hundred thirty-seven million, nine hundred sixty-two thousand, four hundred forty".