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135142500 = 2235437487
BaseRepresentation
bin10000000111000…
…01110001100100
3100102021221122210
420003201301210
5234044030000
621224323420
73230456313
oct1003416144
9312257583
10135142500
116a314619
1239313570
1321cc939c
1413d3c27a
15bce7350
hex80e1c64

135142500 has 120 divisors (see below), whose sum is σ = 405520192. Its totient is φ = 34992000.

The previous prime is 135142499. The next prime is 135142529. The reversal of 135142500 is 5241531.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 277257 + ... + 277743.

Almost surely, 2135142500 is an apocalyptic number.

135142500 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 135142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202760096).

135142500 is an abundant number, since it is smaller than the sum of its proper divisors (270377692).

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

135142500 is a wasteful number, since it uses less digits than its factorization.

135142500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 135142500 is about 11625.0806448816. The cubic root of 135142500 is about 513.1732179929.

The spelling of 135142500 in words is "one hundred thirty-five million, one hundred forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 125 148 150 185 222 250 300 370 375 444 487 500 555 625 740 750 925 974 1110 1250 1461 1500 1850 1875 1948 2220 2435 2500 2775 2922 3700 3750 4625 4870 5550 5844 7305 7500 9250 9740 11100 12175 13875 14610 18019 18500 23125 24350 27750 29220 36038 36525 46250 48700 54057 55500 60875 69375 72076 73050 90095 92500 108114 121750 138750 146100 180190 182625 216228 243500 270285 277500 304375 360380 365250 450475 540570 608750 730500 900950 913125 1081140 1217500 1351425 1801900 1826250 2252375 2702850 3652500 4504750 5405700 6757125 9009500 11261875 13514250 22523750 27028500 33785625 45047500 67571250 135142500