137283420 has 24 divisors (see below), whose sum is σ = 384393744. Its totient is φ = 36608896.

The previous prime is 137283403. The next prime is 137283437. The reversal of 137283420 is 24382731.

137283420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137283403) and next prime (137283437).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1143969 + ... + 1144088.

It is an arithmetic number, because the mean of its divisors is an integer number (16016406).

Almost surely, 2^137283420 is an apocalyptic number.

137283420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137283420 is an abundant number, since it is smaller than the sum of its proper divisors (247110324).

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

137283420 is a wasteful number, since it uses less digits than its factorization.

137283420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288069 (or 2288067 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 137283420 is about 11716.8007578861. The cubic root of 137283420 is about 515.8689198923.

The spelling of 137283420 in words is "one hundred thirty-seven million, two hundred eighty-three thousand, four hundred twenty".