137726764 has 48 divisors (see below), whose sum is σ = 285902848. Its totient is φ = 56827008.

The previous prime is 137726683. The next prime is 137726767. The reversal of 137726764 is 467627731.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 137726764.

It is not an unprimeable number, because it can be changed into a prime (137726767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87109 + ... + 88675.

Almost surely, 2^137726764 is an apocalyptic number.

137726764 is a gapful number since it is divisible by the number (14) 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 137726764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142951424).

137726764 is an abundant number, since it is smaller than the sum of its proper divisors (148176084).

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

137726764 is a wasteful number, since it uses less digits than its factorization.

137726764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1692 counting only the distinct ones).

The product of its digits is 296352, while the sum is 43.

The square root of 137726764 is about 11735.7046656773. The cubic root of 137726764 is about 516.4236400345.

The spelling of 137726764 in words is "one hundred thirty-seven million, seven hundred twenty-six thousand, seven hundred sixty-four".