131653728 has 48 divisors (see below), whose sum is σ = 383992560. Its totient is φ = 43884288.

The previous prime is 131653699. The next prime is 131653777. The reversal of 131653728 is 827356131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131653692 and 131653701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75325 + ... + 77052.

It is an arithmetic number, because the mean of its divisors is an integer number (7999845).

Almost surely, 2^131653728 is an apocalyptic number.

131653728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131653728 is an abundant number, since it is smaller than the sum of its proper divisors (252338832).

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

131653728 is a wasteful number, since it uses less digits than its factorization.

131653728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152396 (or 152382 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 131653728 is about 11474.0458426834. The cubic root of 131653728 is about 508.7187214419.

The spelling of 131653728 in words is "one hundred thirty-one million, six hundred fifty-three thousand, seven hundred twenty-eight".