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135059750 = 2537711087
BaseRepresentation
bin10000000110011…
…01100100100110
3100102010202010222
420003031210212
5234033403000
621222444342
73226663130
oct1003154446
9312122128
10135059750
116a268431
12392936b2
1321c9a817
1413d1a050
15bccca85
hex80cd926

135059750 has 64 divisors (see below), whose sum is σ = 293289984. Its totient is φ = 45612000.

The previous prime is 135059737. The next prime is 135059753. The reversal of 135059750 is 57950531.

It is a super-2 number, since 2×1350597502 = 36482272140125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 135059750.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135059753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123707 + ... + 124793.

It is an arithmetic number, because the mean of its divisors is an integer number (4582656).

Almost surely, 2135059750 is an apocalyptic number.

135059750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135059750 is an abundant number, since it is smaller than the sum of its proper divisors (158230234).

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

135059750 is a wasteful number, since it uses less digits than its factorization.

135059750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 23625, while the sum is 35.

The square root of 135059750 is about 11621.5209847937. The cubic root of 135059750 is about 513.0684551090.

The spelling of 135059750 in words is "one hundred thirty-five million, fifty-nine thousand, seven hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 70 71 125 142 175 250 350 355 497 710 875 994 1087 1750 1775 2174 2485 3550 4970 5435 7609 8875 10870 12425 15218 17750 24850 27175 38045 54350 62125 76090 77177 124250 135875 154354 190225 271750 380450 385885 540239 771770 951125 1080478 1902250 1929425 2701195 3858850 5402390 9647125 13505975 19294250 27011950 67529875 135059750