137549664 has 324 divisors, whose sum is σ = 498014244. Its totient is φ = 37231488.

The previous prime is 137549641. The next prime is 137549689. The reversal of 137549664 is 466945731.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (324).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7239447 + ... + 7239465.

It is an arithmetic number, because the mean of its divisors is an integer number (1537081).

Almost surely, 2^137549664 is an apocalyptic number.

137549664 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 137549664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249007122).

137549664 is an abundant number, since it is smaller than the sum of its proper divisors (360464580).

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

137549664 is an equidigital number, since it uses as much as digits as its factorization.

137549664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 31 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 137549664 is about 11728.1568884459. The cubic root of 137549664 is about 516.2021922596.

The spelling of 137549664 in words is "one hundred thirty-seven million, five hundred forty-nine thousand, six hundred sixty-four".