137034240 has 160 divisors (see below), whose sum is σ = 500860800. Its totient is φ = 31309824.

The previous prime is 137034239. The next prime is 137034277. The reversal of 137034240 is 42430731.

137034240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 137034240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52486 + ... + 55034.

It is an arithmetic number, because the mean of its divisors is an integer number (3130380).

Almost surely, 2^137034240 is an apocalyptic number.

137034240 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 137034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250430400).

137034240 is an abundant number, since it is smaller than the sum of its proper divisors (363826560).

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

137034240 is an equidigital number, since it uses as much as digits as its factorization.

137034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 137034240 is about 11706.1624796515. The cubic root of 137034240 is about 515.5566169001.

Adding to 137034240 its reverse (42430731), we get a palindrome (179464971).

The spelling of 137034240 in words is "one hundred thirty-seven million, thirty-four thousand, two hundred forty".