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136252000 = 2553231481
BaseRepresentation
bin10000001111100…
…00101001100000
3100111101022121101
420013300221200
5234340031000
621304204144
73243060103
oct1007605140
9314338541
10136252000
116aa02165
1239769654
13222c73b1
141414a73a
15be65e6a
hex81f0a60

136252000 has 96 divisors (see below), whose sum is σ = 349562304. Its totient is φ = 52096000.

The previous prime is 136251971. The next prime is 136252027. The reversal of 136252000 is 252631.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91260 + ... + 92740.

It is an arithmetic number, because the mean of its divisors is an integer number (3641274).

Almost surely, 2136252000 is an apocalyptic number.

136252000 is a gapful number since it is divisible by the number (10) 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 136252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174781152).

136252000 is an abundant number, since it is smaller than the sum of its proper divisors (213310304).

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

136252000 is a wasteful number, since it uses less digits than its factorization.

136252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 136252000 is about 11672.7032002017. The cubic root of 136252000 is about 514.5737510532.

It can be divided in two parts, 13625 and 2000, that added together give a 6-th power (15625 = 56).

The spelling of 136252000 in words is "one hundred thirty-six million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1481 1840 2000 2300 2875 2962 3680 4000 4600 5750 5924 7405 9200 11500 11848 14810 18400 23000 23696 29620 34063 37025 46000 47392 59240 68126 74050 92000 118480 136252 148100 170315 185125 236960 272504 296200 340630 370250 545008 592400 681260 740500 851575 1090016 1184800 1362520 1481000 1703150 2725040 2962000 3406300 4257875 5450080 5924000 6812600 8515750 13625200 17031500 27250400 34063000 68126000 136252000