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135336504 = 23329337577
BaseRepresentation
bin10000001000100…
…01001000111000
3100102122210210010
420010101020320
5234121232004
621232421520
73232225032
oct1004211070
9312583703
10135336504
116a437356
12393a78a0
1322066794
1413d8cc52
15bd34a89
hex8111238

135336504 has 64 divisors (see below), whose sum is σ = 351655200. Its totient is φ = 43352064.

The previous prime is 135336503. The next prime is 135336521. The reversal of 135336504 is 405633531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135336503) 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, 234264 + ... + 234840.

Almost surely, 2135336504 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 135336504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175827600).

135336504 is an abundant number, since it is smaller than the sum of its proper divisors (216318696).

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

135336504 is a wasteful number, since it uses less digits than its factorization.

135336504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 135336504 is about 11633.4218525763. The cubic root of 135336504 is about 513.4186627516.

The spelling of 135336504 in words is "one hundred thirty-five million, three hundred thirty-six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 337 348 577 674 696 1011 1154 1348 1731 2022 2308 2696 3462 4044 4616 6924 8088 9773 13848 16733 19546 29319 33466 39092 50199 58638 66932 78184 100398 117276 133864 194449 200796 234552 388898 401592 583347 777796 1166694 1555592 2333388 4666776 5639021 11278042 16917063 22556084 33834126 45112168 67668252 135336504