137444340 has 192 divisors, whose sum is σ = 447068160. Its totient is φ = 31234560.

The previous prime is 137444323. The next prime is 137444399. The reversal of 137444340 is 43444731.

137444340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 137444298 and 137444307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 822937 + ... + 823103.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 2^137444340 is an apocalyptic number.

137444340 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 137444340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223534080).

137444340 is an abundant number, since it is smaller than the sum of its proper divisors (309623820).

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

137444340 is a wasteful number, since it uses less digits than its factorization.

137444340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 137444340 is about 11723.6658089524. The cubic root of 137444340 is about 516.0704038302.

The spelling of 137444340 in words is "one hundred thirty-seven million, four hundred forty-four thousand, three hundred forty".