137540880 has 180 divisors, whose sum is σ = 491419812. Its totient is φ = 34467840.

The previous prime is 137540827. The next prime is 137540899. The reversal of 137540880 is 88045731.

137540880 is a `hidden beast` number, since 1 + 37 + 540 + 8 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 19079424 + 118461456 = 4368^2 + 10884^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 207750 + ... + 208410.

Almost surely, 2^137540880 is an apocalyptic number.

137540880 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 137540880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245709906).

137540880 is an abundant number, since it is smaller than the sum of its proper divisors (353878932).

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

137540880 is a wasteful number, since it uses less digits than its factorization.

137540880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 137540880 is about 11727.7823990727. The cubic root of 137540880 is about 516.1912037036.

The spelling of 137540880 in words is "one hundred thirty-seven million, five hundred forty thousand, eight hundred eighty".