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132088000 = 2653111979
BaseRepresentation
bin1111101111110…
…00000011000000
3100012112202200011
413313320003000
5232303304000
621035034304
73162505132
oct767700300
9305482604
10132088000
1168618740
123829b994
1321499ca5
1413785052
15b8e22ba
hex7df80c0

132088000 has 224 divisors, whose sum is σ = 380390400. Its totient is φ = 44928000.

The previous prime is 132087973. The next prime is 132088009. The reversal of 132088000 is 880231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132088009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1671961 + ... + 1672039.

Almost surely, 2132088000 is an apocalyptic number.

132088000 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 132088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190195200).

132088000 is an abundant number, since it is smaller than the sum of its proper divisors (248302400).

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

132088000 is a wasteful number, since it uses less digits than its factorization.

132088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 132088000 is about 11492.9543634350. The cubic root of 132088000 is about 509.2774594618.

The spelling of 132088000 in words is "one hundred thirty-two million, eighty-eight thousand".