137571480 has 256 divisors, whose sum is σ = 497664000. Its totient is φ = 33675264.

The previous prime is 137571451. The next prime is 137571481. The reversal of 137571480 is 84175731.

137571480 is a `hidden beast` number, since 1 + 3 + 7 + 571 + 4 + 80 = 666.

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 (137571481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1083177 + ... + 1083303.

It is an arithmetic number, because the mean of its divisors is an integer number (1944000).

Almost surely, 2^137571480 is an apocalyptic number.

137571480 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 137571480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248832000).

137571480 is an abundant number, since it is smaller than the sum of its proper divisors (360092520).

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

137571480 is a wasteful number, since it uses less digits than its factorization.

137571480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 137571480 is about 11729.0869209841. The cubic root of 137571480 is about 516.2294814859.

The spelling of 137571480 in words is "one hundred thirty-seven million, five hundred seventy-one thousand, four hundred eighty".