132254100 has 288 divisors, whose sum is σ = 477886080. Its totient is φ = 31104000.

The previous prime is 132254053. The next prime is 132254149. The reversal of 132254100 is 1452231.

It is a super-2 number, since 2×132254100² = 34982293933620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1811664 + ... + 1811736.

Almost surely, 2^132254100 is an apocalyptic number.

132254100 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 132254100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238943040).

132254100 is an abundant number, since it is smaller than the sum of its proper divisors (345631980).

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

132254100 is a wasteful number, since it uses less digits than its factorization.

132254100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132254100 is about 11500.1782594880. The cubic root of 132254100 is about 509.4908413314.

The spelling of 132254100 in words is "one hundred thirty-two million, two hundred fifty-four thousand, one hundred".