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135752604 = 223133732333
BaseRepresentation
bin10000001011101…
…10101110011100
3100110102221120020
420011312232130
5234223040404
621245352140
73235610121
oct1005665634
9313387506
10135752604
116a6a0a39
1239568650
1322180cb0
141405a748
15bdb7ed9
hex8176b9c

135752604 has 48 divisors (see below), whose sum is σ = 342183072. Its totient is φ = 41640192.

The previous prime is 135752563. The next prime is 135752609. The reversal of 135752604 is 406257531.

135752604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135752609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57022 + ... + 59354.

It is an arithmetic number, because the mean of its divisors is an integer number (7128814).

Almost surely, 2135752604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135752604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171091536).

135752604 is an abundant number, since it is smaller than the sum of its proper divisors (206430468).

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

135752604 is a wasteful number, since it uses less digits than its factorization.

135752604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 135752604 is about 11651.2919455312. The cubic root of 135752604 is about 513.9443029880.

The spelling of 135752604 in words is "one hundred thirty-five million, seven hundred fifty-two thousand, six hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 373 746 1119 1492 2238 2333 4476 4666 4849 6999 9332 9698 13998 14547 19396 27996 29094 30329 58188 60658 90987 121316 181974 363948 870209 1740418 2610627 3480836 5221254 10442508 11312717 22625434 33938151 45250868 67876302 135752604