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135661300 = 225210313171
BaseRepresentation
bin10000001011000…
…00011011110100
3100110021022022121
420011200123310
5234212130200
621243405324
73235046665
oct1005403364
9313238277
10135661300
116a639385
1239523844
132214b578
141403536c
15bd9ae1a
hex81606f4

135661300 has 36 divisors (see below), whose sum is σ = 297265696. Its totient is φ = 53733600.

The previous prime is 135661297. The next prime is 135661303. The reversal of 135661300 is 3166531.

135661300 = 23662 + 23672 + ... + 23892.

135661300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135661297) and next prime (135661303).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135661303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3715 + ... + 16885.

Almost surely, 2135661300 is an apocalyptic number.

135661300 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 135661300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148632848).

135661300 is an abundant number, since it is smaller than the sum of its proper divisors (161604396).

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

135661300 is a wasteful number, since it uses less digits than its factorization.

135661300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13288 (or 13281 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 135661300 is about 11647.3730943934. The cubic root of 135661300 is about 513.8290548738.

The spelling of 135661300 in words is "one hundred thirty-five million, six hundred sixty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 2060 2575 5150 10300 13171 26342 52684 65855 131710 263420 329275 658550 1317100 1356613 2713226 5426452 6783065 13566130 27132260 33915325 67830650 135661300