137065440 has 48 divisors (see below), whose sum is σ = 431757648. Its totient is φ = 36550656.

The previous prime is 137065403. The next prime is 137065447. The reversal of 137065440 is 44560731.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 137065398 and 137065407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137065447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142297 + ... + 143256.

It is an arithmetic number, because the mean of its divisors is an integer number (8994951).

Almost surely, 2^137065440 is an apocalyptic number.

137065440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137065440 is an abundant number, since it is smaller than the sum of its proper divisors (294692208).

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

137065440 is a wasteful number, since it uses less digits than its factorization.

137065440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285571 (or 285563 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 137065440 is about 11707.4950352328. The cubic root of 137065440 is about 515.5957412966.

The spelling of 137065440 in words is "one hundred thirty-seven million, sixty-five thousand, four hundred forty".