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135188625 = 35311132521
BaseRepresentation
bin10000000111011…
…01000010010001
3100102101021221010
420003231002101
5234102014000
621225321133
73231040635
oct1003550221
9312337833
10135188625
116a346240
12393361a9
1322014390
1413d50dc5
15bd05d50
hex80ed091

135188625 has 64 divisors (see below), whose sum is σ = 264386304. Its totient is φ = 60480000.

The previous prime is 135188611. The next prime is 135188663. The reversal of 135188625 is 526881531.

It is not a de Polignac number, because 135188625 - 25 = 135188593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52365 + ... + 54885.

It is an arithmetic number, because the mean of its divisors is an integer number (4131036).

Almost surely, 2135188625 is an apocalyptic number.

135188625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135188625 is a deficient number, since it is larger than the sum of its proper divisors (129197679).

135188625 is a wasteful number, since it uses less digits than its factorization.

135188625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2553 counting only the distinct ones).

The product of its digits is 57600, while the sum is 39.

The square root of 135188625 is about 11627.0643328400. The cubic root of 135188625 is about 513.2315944530.

The spelling of 135188625 in words is "one hundred thirty-five million, one hundred eighty-eight thousand, six hundred twenty-five".

Divisors: 1 3 5 11 13 15 25 33 39 55 65 75 125 143 165 195 275 325 375 429 715 825 975 1375 1625 2145 2521 3575 4125 4875 7563 10725 12605 17875 27731 32773 37815 53625 63025 83193 98319 138655 163865 189075 315125 360503 415965 491595 693275 819325 945375 1081509 1802515 2079825 2457975 3466375 4096625 5407545 9012575 10399125 12289875 27037725 45062875 135188625