137213440 has 320 divisors, whose sum is σ = 439971840. Its totient is φ = 39813120.

The previous prime is 137213437. The next prime is 137213507. The reversal of 137213440 is 44312731.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4426225 + ... + 4426255.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912).

Almost surely, 2^137213440 is an apocalyptic number.

137213440 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 137213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219985920).

137213440 is an abundant number, since it is smaller than the sum of its proper divisors (302758400).

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

137213440 is a wasteful number, since it uses less digits than its factorization.

137213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 137213440 is about 11713.8140671602. The cubic root of 137213440 is about 515.7812505466.

It can be divided in two parts, 13721 and 3440, that added together give a square (17161 = 131²).

The spelling of 137213440 in words is "one hundred thirty-seven million, two hundred thirteen thousand, four hundred forty".