137418480 has 240 divisors, whose sum is σ = 497914560. Its totient is φ = 33841152.

The previous prime is 137418473. The next prime is 137418487. The reversal of 137418480 is 84814731.

137418480 is a `hidden beast` number, since 137 + 41 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (137418473) and next prime (137418487).

It is a tau number, because it is divible by the number of its divisors (240).

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 (137418487) 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, 1260666 + ... + 1260774.

It is an arithmetic number, because the mean of its divisors is an integer number (2074644).

Almost surely, 2^137418480 is an apocalyptic number.

137418480 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 137418480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248957280).

137418480 is an abundant number, since it is smaller than the sum of its proper divisors (360496080).

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

137418480 is a wasteful number, since it uses less digits than its factorization.

137418480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

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

The square root of 137418480 is about 11722.5628597163. The cubic root of 137418480 is about 516.0380357756.

The spelling of 137418480 in words is "one hundred thirty-seven million, four hundred eighteen thousand, four hundred eighty".