137716512 has 48 divisors (see below), whose sum is σ = 362128032. Its totient is φ = 45826560.

The previous prime is 137716489. The next prime is 137716519. The reversal of 137716512 is 215617731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×137716512² = 37931675354892288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137716519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89187 + ... + 90717.

It is an arithmetic number, because the mean of its divisors is an integer number (7544334).

Almost surely, 2^137716512 is an apocalyptic number.

137716512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137716512 is an abundant number, since it is smaller than the sum of its proper divisors (224411520).

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

137716512 is a wasteful number, since it uses less digits than its factorization.

137716512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2473 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 137716512 is about 11735.2678708243. The cubic root of 137716512 is about 516.4108259999.

The spelling of 137716512 in words is "one hundred thirty-seven million, seven hundred sixteen thousand, five hundred twelve".