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135290088 = 23341032027
BaseRepresentation
bin10000001000001…
…01110011101000
3100102120110010000
420010011303220
5234113240323
621231423000
73231642513
oct1004056350
9312513100
10135290088
116a40549a
1239384a60
132204b60b
1413d79d7a
15bd25e43
hex8105ce8

135290088 has 80 divisors (see below), whose sum is σ = 382805280. Its totient is φ = 44636832.

The previous prime is 135290087. The next prime is 135290123. The reversal of 135290088 is 880092531.

It is a super-2 number, since 2×1352900882 = 36606815822095488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135290087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65731 + ... + 67757.

It is an arithmetic number, because the mean of its divisors is an integer number (4785066).

Almost surely, 2135290088 is an apocalyptic number.

135290088 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 135290088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191402640).

135290088 is an abundant number, since it is smaller than the sum of its proper divisors (247515192).

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

135290088 is a wasteful number, since it uses less digits than its factorization.

135290088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 135290088 is about 11631.4267396567. The cubic root of 135290088 is about 513.3599607634.

The spelling of 135290088 in words is "one hundred thirty-five million, two hundred ninety thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 216 309 324 412 618 648 824 927 1236 1854 2027 2472 2781 3708 4054 5562 6081 7416 8108 8343 11124 12162 16216 16686 18243 22248 24324 33372 36486 48648 54729 66744 72972 109458 145944 164187 208781 218916 328374 417562 437832 626343 656748 835124 1252686 1313496 1670248 1879029 2505372 3758058 5010744 5637087 7516116 11274174 15032232 16911261 22548348 33822522 45096696 67645044 135290088