137764500 has 96 divisors (see below), whose sum is σ = 415134720. Its totient is φ = 35459200.

The previous prime is 137764499. The next prime is 137764507. The reversal of 137764500 is 5467731.

It is a super-3 number, since 3×137764500³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137764507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41917 + ... + 45083.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 2^137764500 is an apocalyptic number.

137764500 is a gapful number since it is divisible by the number (10) 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 137764500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

137764500 is an abundant number, since it is smaller than the sum of its proper divisors (277370220).

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

137764500 is a wasteful number, since it uses less digits than its factorization.

137764500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 137764500 is about 11737.3122988187. The cubic root of 137764500 is about 516.4708010034.

The spelling of 137764500 in words is "one hundred thirty-seven million, seven hundred sixty-four thousand, five hundred".