132077400 has 384 divisors, whose sum is σ = 524966400. Its totient is φ = 26726400.

The previous prime is 132077389. The next prime is 132077411. The reversal of 132077400 is 4770231.

It is an interprime number because it is at equal distance from previous prime (132077389) and next prime (132077411).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2238571 + ... + 2238629.

It is an arithmetic number, because the mean of its divisors is an integer number (1367100).

Almost surely, 2^132077400 is an apocalyptic number.

132077400 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 132077400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262483200).

132077400 is an abundant number, since it is smaller than the sum of its proper divisors (392889000).

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

132077400 is a wasteful number, since it uses less digits than its factorization.

132077400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 132077400 is about 11492.4932020863. The cubic root of 132077400 is about 509.2638360050.

The spelling of 132077400 in words is "one hundred thirty-two million, seventy-seven thousand, four hundred".