131628540 has 48 divisors (see below), whose sum is σ = 384588288. Its totient is φ = 33574464.

The previous prime is 131628487. The next prime is 131628559. The reversal of 131628540 is 45826131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131628498 and 131628507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46312 + ... + 49071.

It is an arithmetic number, because the mean of its divisors is an integer number (8012256).

Almost surely, 2^131628540 is an apocalyptic number.

131628540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131628540 is an abundant number, since it is smaller than the sum of its proper divisors (252959748).

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

131628540 is a wasteful number, since it uses less digits than its factorization.

131628540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95418 (or 95416 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 131628540 is about 11472.9481825728. The cubic root of 131628540 is about 508.6862766728.

The spelling of 131628540 in words is "one hundred thirty-one million, six hundred twenty-eight thousand, five hundred forty".