137442420 has 120 divisors (see below), whose sum is σ = 443008104. Its totient is φ = 35645184.

The previous prime is 137442413. The next prime is 137442469. The reversal of 137442420 is 24244731.

It can be written as a sum of positive squares in 4 ways, for example, as 25040016 + 112402404 = 5004^2 + 10602^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 58794 + ... + 61086.

Almost surely, 2^137442420 is an apocalyptic number.

137442420 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 137442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221504052).

137442420 is an abundant number, since it is smaller than the sum of its proper divisors (305565684).

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

137442420 is a wasteful number, since it uses less digits than its factorization.

137442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 137442420 is about 11723.5839230160. The cubic root of 137442420 is about 516.0680007732.

The spelling of 137442420 in words is "one hundred thirty-seven million, four hundred forty-two thousand, four hundred twenty".