137490048 has 160 divisors (see below), whose sum is σ = 416542500. Its totient is φ = 45010944.

The previous prime is 137490047. The next prime is 137490071. The reversal of 137490048 is 840094731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 118200384 + 19289664 = 10872^2 + 4392^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137489994 and 137490021.

It is not an unprimeable number, because it can be changed into a prime (137490047) 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 19 ways as a sum of consecutive naturals, for example, 922678 + ... + 922826.

Almost surely, 2^137490048 is an apocalyptic number.

137490048 is a gapful number since it is divisible by the number (18) 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 137490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208271250).

137490048 is an abundant number, since it is smaller than the sum of its proper divisors (279052452).

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

137490048 is an equidigital number, since it uses as much as digits as its factorization.

137490048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 137490048 is about 11725.6150371740. The cubic root of 137490048 is about 516.1276050014.

The spelling of 137490048 in words is "one hundred thirty-seven million, four hundred ninety thousand, forty-eight".