132400890 has 96 divisors (see below), whose sum is σ = 359822736. Its totient is φ = 33745920.

The previous prime is 132400861. The next prime is 132400937. The reversal of 132400890 is 98004231.

It can be written as a sum of positive squares in 8 ways, for example, as 81378441 + 51022449 = 9021^2 + 7143^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195232 + ... + 195908.

Almost surely, 2^132400890 is an apocalyptic number.

132400890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132400890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179911368).

132400890 is an abundant number, since it is smaller than the sum of its proper divisors (227421846).

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

132400890 is a wasteful number, since it uses less digits than its factorization.

132400890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 132400890 is about 11506.5585645752. The cubic root of 132400890 is about 509.6792677729.

The spelling of 132400890 in words is "one hundred thirty-two million, four hundred thousand, eight hundred ninety".