137540480 has 128 divisors (see below), whose sum is σ = 410088960. Its totient is φ = 42854400.

The previous prime is 137540479. The next prime is 137540497. The reversal of 137540480 is 84045731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47885 + ... + 50675.

It is an arithmetic number, because the mean of its divisors is an integer number (3203820).

Almost surely, 2^137540480 is an apocalyptic number.

137540480 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 137540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205044480).

137540480 is an abundant number, since it is smaller than the sum of its proper divisors (272548480).

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

137540480 is a wasteful number, since it uses less digits than its factorization.

137540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 137540480 is about 11727.7653455379. The cubic root of 137540480 is about 516.1907033028.

The spelling of 137540480 in words is "one hundred thirty-seven million, five hundred forty thousand, four hundred eighty".