137068416 has 128 divisors (see below), whose sum is σ = 428522400. Its totient is φ = 42983424.

The previous prime is 137068409. The next prime is 137068427. The reversal of 137068416 is 614860731.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57586 + ... + 59918.

Almost surely, 2^137068416 is an apocalyptic number.

137068416 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 137068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214261200).

137068416 is an abundant number, since it is smaller than the sum of its proper divisors (291453984).

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

137068416 is a wasteful number, since it uses less digits than its factorization.

137068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 137068416 is about 11707.6221326109. The cubic root of 137068416 is about 515.5994728519.

It can be divided in two parts, 13706 and 8416, that added together give a palindrome (22122).

The spelling of 137068416 in words is "one hundred thirty-seven million, sixty-eight thousand, four hundred sixteen".