137484360 has 192 divisors, whose sum is σ = 498279600. Its totient is φ = 32643072.

The previous prime is 137484359. The next prime is 137484377. The reversal of 137484360 is 63484731.

137484360 = 406² + 407² + ... + 782².

It can be written as a sum of positive squares in 8 ways, for example, as 3526884 + 133957476 = 1878^2 + 11574^2 .

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 47 ways as a sum of consecutive naturals, for example, 135214 + ... + 136226.

Almost surely, 2^137484360 is an apocalyptic number.

137484360 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 137484360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249139800).

137484360 is an abundant number, since it is smaller than the sum of its proper divisors (360795240).

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

137484360 is a wasteful number, since it uses less digits than its factorization.

137484360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 137484360 is about 11725.3724887528. The cubic root of 137484360 is about 516.1204874577.

The spelling of 137484360 in words is "one hundred thirty-seven million, four hundred eighty-four thousand, three hundred sixty".