137989040 has 80 divisors (see below), whose sum is σ = 368547840. Its totient is φ = 47066880.

The previous prime is 137989037. The next prime is 137989043. The reversal of 137989040 is 40989731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (137989037) and next prime (137989043).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (137989043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133325 + ... + 134355.

It is an arithmetic number, because the mean of its divisors is an integer number (4606848).

Almost surely, 2^137989040 is an apocalyptic number.

137989040 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 137989040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184273920).

137989040 is an abundant number, since it is smaller than the sum of its proper divisors (230558800).

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

137989040 is a wasteful number, since it uses less digits than its factorization.

137989040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 137989040 is about 11746.8736266293. The cubic root of 137989040 is about 516.7512443341.

The spelling of 137989040 in words is "one hundred thirty-seven million, nine hundred eighty-nine thousand, forty".