137442960 has 320 divisors, whose sum is σ = 530323200. Its totient is φ = 32514048.

The previous prime is 137442959. The next prime is 137442961. The reversal of 137442960 is 69244731.

It is an interprime number because it is at equal distance from previous prime (137442959) and next prime (137442961).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137442961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 697582 + ... + 697778.

It is an arithmetic number, because the mean of its divisors is an integer number (1657260).

Almost surely, 2^137442960 is an apocalyptic number.

137442960 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 137442960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265161600).

137442960 is an abundant number, since it is smaller than the sum of its proper divisors (392880240).

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

137442960 is a wasteful number, since it uses less digits than its factorization.

137442960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

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

The square root of 137442960 is about 11723.6069534935. The cubic root of 137442960 is about 516.0686766352.

The spelling of 137442960 in words is "one hundred thirty-seven million, four hundred forty-two thousand, nine hundred sixty".