137149416 has 64 divisors (see below), whose sum is σ = 382363200. Its totient is φ = 45549504.

The previous prime is 137149409. The next prime is 137149423. The reversal of 137149416 is 614941731.

137149416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137149409) and next prime (137149423).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67471 + ... + 69473.

It is an arithmetic number, because the mean of its divisors is an integer number (5974425).

Almost surely, 2^137149416 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 137149416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191181600).

137149416 is an abundant number, since it is smaller than the sum of its proper divisors (245213784).

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

137149416 is a wasteful number, since it uses less digits than its factorization.

137149416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2325 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 137149416 is about 11711.0809065602. The cubic root of 137149416 is about 515.7010166273.

The spelling of 137149416 in words is "one hundred thirty-seven million, one hundred forty-nine thousand, four hundred sixteen".