131151328 has 192 divisors, whose sum is σ = 355332096. Its totient is φ = 46080000.

The previous prime is 131151323. The next prime is 131151341. The reversal of 131151328 is 823151131.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131151323) 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, 1298478 + ... + 1298578.

It is an arithmetic number, because the mean of its divisors is an integer number (1850688).

Almost surely, 2^131151328 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 131151328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177666048).

131151328 is an abundant number, since it is smaller than the sum of its proper divisors (224180768).

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

131151328 is a wasteful number, since it uses less digits than its factorization.

131151328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The square root of 131151328 is about 11452.1320285788. The cubic root of 131151328 is about 508.0707942753.

The spelling of 131151328 in words is "one hundred thirty-one million, one hundred fifty-one thousand, three hundred twenty-eight".