137408148 has 36 divisors (see below), whose sum is σ = 359317140. Its totient is φ = 44222976.

The previous prime is 137408147. The next prime is 137408149. The reversal of 137408148 is 841804731.

It is an interprime number because it is at equal distance from previous prime (137408147) and next prime (137408149).

It can be written as a sum of positive squares in 2 ways, for example, as 108118404 + 29289744 = 10398^2 + 5412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (137408147) 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 11 ways as a sum of consecutive naturals, for example, 64765 + ... + 66852.

Almost surely, 2^137408148 is an apocalyptic number.

137408148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

137408148 is an abundant number, since it is smaller than the sum of its proper divisors (221908992).

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

137408148 is a wasteful number, since it uses less digits than its factorization.

137408148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131656 (or 131651 counting only the distinct ones).

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

The square root of 137408148 is about 11722.1221628168. The cubic root of 137408148 is about 516.0251024384.

The spelling of 137408148 in words is "one hundred thirty-seven million, four hundred eight thousand, one hundred forty-eight".