137282148 has 48 divisors (see below), whose sum is σ = 356695360. Its totient is φ = 45660672.

The previous prime is 137282107. The next prime is 137282153. The reversal of 137282148 is 841282731.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 61215 + ... + 63417.

Almost surely, 2^137282148 is an apocalyptic number.

137282148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137282148 is an abundant number, since it is smaller than the sum of its proper divisors (219413212).

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

137282148 is a wasteful number, since it uses less digits than its factorization.

137282148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2785 counting only the distinct ones).

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

The square root of 137282148 is about 11716.7464767315. The cubic root of 137282148 is about 515.8673266256.

It can be divided in two parts, 13728 and 2148, that added together give a square (15876 = 126²).

The spelling of 137282148 in words is "one hundred thirty-seven million, two hundred eighty-two thousand, one hundred forty-eight".