137862144 has 132 divisors (see below), whose sum is σ = 455154544. Its totient is φ = 39370752.

The previous prime is 137862133. The next prime is 137862149. The reversal of 137862144 is 441268731.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 137862099 and 137862108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137862149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63444 + ... + 65580.

Almost surely, 2^137862144 is an apocalyptic number.

137862144 is a gapful number since it is divisible by the number (14) 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 137862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227577272).

137862144 is an abundant number, since it is smaller than the sum of its proper divisors (317292400).

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

137862144 is a wasteful number, since it uses less digits than its factorization.

137862144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2149 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 137862144 is about 11741.4711173686. The cubic root of 137862144 is about 516.5927926752.

The spelling of 137862144 in words is "one hundred thirty-seven million, eight hundred sixty-two thousand, one hundred forty-four".