137142816 has 24 divisors (see below), whose sum is σ = 360000144. Its totient is φ = 45714240.

The previous prime is 137142793. The next prime is 137142829. The reversal of 137142816 is 618241731.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 714190 + ... + 714381.

It is an arithmetic number, because the mean of its divisors is an integer number (15000006).

Almost surely, 2^137142816 is an apocalyptic number.

137142816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137142816 is an abundant number, since it is smaller than the sum of its proper divisors (222857328).

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

137142816 is a wasteful number, since it uses less digits than its factorization.

137142816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428584 (or 1428576 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 137142816 is about 11710.7991187621. The cubic root of 137142816 is about 515.6927441864.

The spelling of 137142816 in words is "one hundred thirty-seven million, one hundred forty-two thousand, eight hundred sixteen".