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146825136 = 2434193587
BaseRepresentation
bin10001100000001…
…01111110110000
3101020021111020000
420300011332300
5300041401021
622322550000
73431664423
oct1060057660
9336244200
10146825136
1175973997
1241208300
1324559aa3
14156dd9ba
15cd53b26
hex8c05fb0

146825136 has 100 divisors (see below), whose sum is σ = 427884072. Its totient is φ = 48605184.

The previous prime is 146825131. The next prime is 146825149. The reversal of 146825136 is 631528641.

It is a happy number.

It is a super-2 number, since 2×1468251362 = 43115241122836992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 146825136.

It is not an unprimeable number, because it can be changed into a prime (146825131) 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, 249835 + ... + 250421.

Almost surely, 2146825136 is an apocalyptic number.

146825136 is a gapful number since it is divisible by the number (16) 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 146825136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213942036).

146825136 is an abundant number, since it is smaller than the sum of its proper divisors (281058936).

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

146825136 is a wasteful number, since it uses less digits than its factorization.

146825136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 785 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 146825136 is about 12117.1422373429. The cubic root of 146825136 is about 527.5538586697.

The spelling of 146825136 in words is "one hundred forty-six million, eight hundred twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 193 216 324 386 432 579 587 648 772 1158 1174 1296 1544 1737 1761 2316 2348 3088 3474 3522 4632 4696 5211 5283 6948 7044 9264 9392 10422 10566 13896 14088 15633 15849 20844 21132 27792 28176 31266 31698 41688 42264 47547 62532 63396 83376 84528 95094 113291 125064 126792 190188 226582 250128 253584 339873 380376 453164 679746 760752 906328 1019619 1359492 1812656 2039238 2718984 3058857 4078476 5437968 6117714 8156952 9176571 12235428 16313904 18353142 24470856 36706284 48941712 73412568 146825136