137965950 has 48 divisors (see below), whose sum is σ = 380176560. Its totient is φ = 36790560.

The previous prime is 137965909. The next prime is 137965951. The reversal of 137965950 is 59569731.

137965950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 137965896 and 137965905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137965951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49749 + ... + 52448.

It is an arithmetic number, because the mean of its divisors is an integer number (7920345).

Almost surely, 2^137965950 is an apocalyptic number.

137965950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137965950 is an abundant number, since it is smaller than the sum of its proper divisors (242210610).

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

137965950 is a wasteful number, since it uses less digits than its factorization.

137965950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102218 (or 102207 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 137965950 is about 11745.8907708185. The cubic root of 137965950 is about 516.7224196975.

The spelling of 137965950 in words is "one hundred thirty-seven million, nine hundred sixty-five thousand, nine hundred fifty".