137148480 has 168 divisors, whose sum is σ = 539203392. Its totient is φ = 31343616.

The previous prime is 137148467. The next prime is 137148527. The reversal of 137148480 is 84841731.

137148480 is a `hidden beast` number, since 1 + 37 + 148 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 16759 + ... + 23561.

It is an arithmetic number, because the mean of its divisors is an integer number (3209544).

Almost surely, 2^137148480 is an apocalyptic number.

137148480 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 137148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269601696).

137148480 is an abundant number, since it is smaller than the sum of its proper divisors (402054912).

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

137148480 is a wasteful number, since it uses less digits than its factorization.

137148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6833 (or 6820 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 137148480 is about 11711.0409443397. The cubic root of 137148480 is about 515.6998434609.

The spelling of 137148480 in words is "one hundred thirty-seven million, one hundred forty-eight thousand, four hundred eighty".