137409696 has 144 divisors (see below), whose sum is σ = 416078208. Its totient is φ = 44582400.

The previous prime is 137409689. The next prime is 137409703. The reversal of 137409696 is 696904731.

It is an interprime number because it is at equal distance from previous prime (137409689) and next prime (137409703).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318601 + ... + 319031.

It is an arithmetic number, because the mean of its divisors is an integer number (2889432).

Almost surely, 2^137409696 is an apocalyptic number.

137409696 is a gapful number since it is divisible by the number (16) 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 137409696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208039104).

137409696 is an abundant number, since it is smaller than the sum of its proper divisors (278668512).

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

137409696 is an equidigital number, since it uses as much as digits as its factorization.

137409696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 137409696 is about 11722.1881916304. The cubic root of 137409696 is about 516.0270402271.

It can be divided in two parts, 13740 and 9696, that added together give a triangular number (23436 = T₂₁₆).

The spelling of 137409696 in words is "one hundred thirty-seven million, four hundred nine thousand, six hundred ninety-six".