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149937075 = 365219433
BaseRepresentation
bin10001110111111…
…01101110110011
3101110010121000000
420323331232303
5301340441300
622513401043
73500305221
oct1073755663
9343117000
10149937075
11776a9a42
1242269183
13250a9382
1415cadb11
15d26ac00
hex8efdbb3

149937075 has 84 divisors (see below), whose sum is σ = 294104440. Its totient is φ = 75582720.

The previous prime is 149936993. The next prime is 149937107. The reversal of 149937075 is 570739941.

It is not a de Polignac number, because 149937075 - 28 = 149936819 is a prime.

It is a super-2 number, since 2×1499370752 = 44962252919111250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 149937075.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 346059 + ... + 346491.

Almost surely, 2149937075 is an apocalyptic number.

149937075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

149937075 is a deficient number, since it is larger than the sum of its proper divisors (144167365).

149937075 is an equidigital number, since it uses as much as digits as its factorization.

149937075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 149937075 is about 12244.8795420780. The cubic root of 149937075 is about 531.2549766546.

The spelling of 149937075 in words is "one hundred forty-nine million, nine hundred thirty-seven thousand, seventy-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 81 95 135 171 225 243 285 405 433 475 513 675 729 855 1215 1299 1425 1539 2025 2165 2565 3645 3897 4275 4617 6075 6495 7695 8227 10825 11691 12825 13851 18225 19485 23085 24681 32475 35073 38475 41135 58455 69255 74043 97425 105219 115425 123405 175365 205675 222129 292275 315657 346275 370215 526095 617025 666387 876825 1110645 1578285 1851075 1999161 2630475 3331935 5553225 5997483 7891425 9995805 16659675 29987415 49979025 149937075