132653640 has 128 divisors (see below), whose sum is σ = 460800000. Its totient is φ = 29922048.

The previous prime is 132653639. The next prime is 132653641. The reversal of 132653640 is 46356231.

It is an interprime number because it is at equal distance from previous prime (132653639) and next prime (132653641).

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 = 132653598 and 132653607.

It is not an unprimeable number, because it can be changed into a prime (132653641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65361 + ... + 67359.

It is an arithmetic number, because the mean of its divisors is an integer number (3600000).

Almost surely, 2^132653640 is an apocalyptic number.

132653640 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 132653640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230400000).

132653640 is an abundant number, since it is smaller than the sum of its proper divisors (328146360).

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

132653640 is a wasteful number, since it uses less digits than its factorization.

132653640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 132653640 is about 11517.5361948639. The cubic root of 132653640 is about 510.0033832917.

The spelling of 132653640 in words is "one hundred thirty-two million, six hundred fifty-three thousand, six hundred forty".