137480040 has 192 divisors, whose sum is σ = 469647360. Its totient is φ = 34836480.

The previous prime is 137480027. The next prime is 137480041. The reversal of 137480040 is 40084731.

It is a super-2 number, since 2×137480040² = 37801522796803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137479986 and 137480013.

It is not an unprimeable number, because it can be changed into a prime (137480041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082457 + ... + 1082583.

It is an arithmetic number, because the mean of its divisors is an integer number (2446080).

Almost surely, 2^137480040 is an apocalyptic number.

137480040 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 137480040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234823680).

137480040 is an abundant number, since it is smaller than the sum of its proper divisors (332167320).

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

137480040 is a wasteful number, since it uses less digits than its factorization.

137480040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 137480040 is about 11725.1882714095. The cubic root of 137480040 is about 516.1150815971.

The spelling of 137480040 in words is "one hundred thirty-seven million, four hundred eighty thousand, forty".