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132919668 = 2232717192371
BaseRepresentation
bin1111110110000…
…11000101110100
3100021010000111200
413323003011310
5233011412133
621104532500
73202540620
oct773030564
9307100450
10132919668
1169036572
1238621130
13216cb6bb
1413920180
15ba08913
hex7ec3174

132919668 has 288 divisors, whose sum is σ = 452874240. Its totient is φ = 31933440.

The previous prime is 132919667. The next prime is 132919681. The reversal of 132919668 is 866919231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132919667) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1872073 + ... + 1872143.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2132919668 is an apocalyptic number.

132919668 is a gapful number since it is divisible by the number (18) 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 132919668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

132919668 is an abundant number, since it is smaller than the sum of its proper divisors (319954572).

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

132919668 is a wasteful number, since it uses less digits than its factorization.

132919668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 142 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 132919668 is about 11529.0792347004. The cubic root of 132919668 is about 510.3440815319.

The spelling of 132919668 in words is "one hundred thirty-two million, nine hundred nineteen thousand, six hundred sixty-eight".