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135392148 = 22341747523
BaseRepresentation
bin10000001000111…
…10101110010100
3100102202122010000
420010132232110
5234130022043
621233531300
73232546203
oct1004365624
9312678100
10135392148
116a475141
1239413b30
1322085bc8
1413da523a
15bd462d3
hex811eb94

135392148 has 120 divisors (see below), whose sum is σ = 383467392. Its totient is φ = 41492736.

The previous prime is 135392143. The next prime is 135392149. The reversal of 135392148 is 841293531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135392141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 258615 + ... + 259137.

Almost surely, 2135392148 is an apocalyptic number.

135392148 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 135392148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191733696).

135392148 is an abundant number, since it is smaller than the sum of its proper divisors (248075244).

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

135392148 is a wasteful number, since it uses less digits than its factorization.

135392148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 135392148 is about 11635.8131645365. The cubic root of 135392148 is about 513.4890176392.

The spelling of 135392148 in words is "one hundred thirty-five million, three hundred ninety-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 47 51 54 68 81 94 102 108 141 153 162 188 204 282 306 324 423 459 523 564 612 799 846 918 1046 1269 1377 1569 1598 1692 1836 2092 2397 2538 2754 3138 3196 3807 4707 4794 5076 5508 6276 7191 7614 8891 9414 9588 14121 14382 15228 17782 18828 21573 24581 26673 28242 28764 35564 42363 43146 49162 53346 56484 64719 73743 80019 84726 86292 98324 106692 129438 147486 160038 169452 221229 240057 258876 294972 320076 417877 442458 480114 663687 720171 835754 884916 960228 1253631 1327374 1440342 1671508 1991061 2507262 2654748 2880684 3760893 3982122 5014524 7521786 7964244 11282679 15043572 22565358 33848037 45130716 67696074 135392148