137528468 has 48 divisors (see below), whose sum is σ = 303101568. Its totient is φ = 53040000.

The previous prime is 137528467. The next prime is 137528497. The reversal of 137528468 is 864825731.

137528468 is digitally balanced in base 3 and base 9, because in such bases 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 (44).

137528468 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137528467) 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, 28898 + ... + 33318.

It is an arithmetic number, because the mean of its divisors is an integer number (6314616).

Almost surely, 2^137528468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137528468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151550784).

137528468 is an abundant number, since it is smaller than the sum of its proper divisors (165573100).

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

137528468 is a wasteful number, since it uses less digits than its factorization.

137528468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544 (or 4542 counting only the distinct ones).

The product of its digits is 322560, while the sum is 44.

The square root of 137528468 is about 11727.2532163333. The cubic root of 137528468 is about 516.1756758160.

The spelling of 137528468 in words is "one hundred thirty-seven million, five hundred twenty-eight thousand, four hundred sixty-eight".