137910816 has 192 divisors, whose sum is σ = 438681600. Its totient is φ = 41990400.

The previous prime is 137910811. The next prime is 137910827. The reversal of 137910816 is 618019731.

137910816 = T₄₂₅ + T₄₂₆ + ... + T₉₆₆.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137910811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508761 + ... + 509031.

It is an arithmetic number, because the mean of its divisors is an integer number (2284800).

Almost surely, 2^137910816 is an apocalyptic number.

137910816 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 137910816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219340800).

137910816 is an abundant number, since it is smaller than the sum of its proper divisors (300770784).

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

137910816 is a wasteful number, since it uses less digits than its factorization.

137910816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 137910816 is about 11743.5435878614. The cubic root of 137910816 is about 516.6535795968.

The spelling of 137910816 in words is "one hundred thirty-seven million, nine hundred ten thousand, eight hundred sixteen".