137263104 has 144 divisors (see below), whose sum is σ = 433119960. Its totient is φ = 41533440.

The previous prime is 137263097. The next prime is 137263111. The reversal of 137263104 is 401362731.

It is an interprime number because it is at equal distance from previous prime (137263097) and next prime (137263111).

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202414 + ... + 203090.

Almost surely, 2^137263104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137263104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216559980).

137263104 is an abundant number, since it is smaller than the sum of its proper divisors (295856856).

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

137263104 is a wasteful number, since it uses less digits than its factorization.

137263104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 137263104 is about 11715.9337656031. The cubic root of 137263104 is about 515.8434715412.

The spelling of 137263104 in words is "one hundred thirty-seven million, two hundred sixty-three thousand, one hundred four".