137484440 has 32 divisors (see below), whose sum is σ = 327538080. Its totient is φ = 51758592.

The previous prime is 137484421. The next prime is 137484449. The reversal of 137484440 is 44484731.

It is a super-2 number, since 2×137484440² = 37803942484227200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137484440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137484449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 100412 + ... + 101771.

It is an arithmetic number, because the mean of its divisors is an integer number (10235565).

Almost surely, 2^137484440 is an apocalyptic number.

137484440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137484440 is an abundant number, since it is smaller than the sum of its proper divisors (190053640).

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

137484440 is a wasteful number, since it uses less digits than its factorization.

137484440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202211 (or 202207 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 35.

The square root of 137484440 is about 11725.3759001577. The cubic root of 137484440 is about 516.1205875651.

The spelling of 137484440 in words is "one hundred thirty-seven million, four hundred eighty-four thousand, four hundred forty".