137528080 has 80 divisors (see below), whose sum is σ = 339174720. Its totient is φ = 51715584.

The previous prime is 137528077. The next prime is 137528081. The reversal of 137528080 is 80825731.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (137528081) 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, 262699 + ... + 263221.

It is an arithmetic number, because the mean of its divisors is an integer number (4239684).

Almost surely, 2^137528080 is an apocalyptic number.

137528080 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 137528080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169587360).

137528080 is an abundant number, since it is smaller than the sum of its proper divisors (201646640).

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

137528080 is a wasteful number, since it uses less digits than its factorization.

137528080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 137528080 is about 11727.2366736585. The cubic root of 137528080 is about 516.1751903981.

The spelling of 137528080 in words is "one hundred thirty-seven million, five hundred twenty-eight thousand, eighty".