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145886157 = 3353971051
BaseRepresentation
bin10001011001000…
…00101111001101
3101011111210012000
420230200233031
5244321324112
622250502513
73421004034
oct1054405715
9334453160
10145886157
117539247a
1240a34a39
13242bb591
141553771b
15cc1a7dc
hex8b20bcd

145886157 has 32 divisors (see below), whose sum is σ = 222687360. Its totient is φ = 94348800.

The previous prime is 145886137. The next prime is 145886177. The reversal of 145886157 is 751688541.

145886157 is a `hidden beast` number, since 1 + 4 + 588 + 61 + 5 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (145886137) and next prime (145886177).

It is not a de Polignac number, because 145886157 - 219 = 145361869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145886107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138282 + ... + 139332.

It is an arithmetic number, because the mean of its divisors is an integer number (6958980).

Almost surely, 2145886157 is an apocalyptic number.

It is an amenable number.

145886157 is a deficient number, since it is larger than the sum of its proper divisors (76801203).

145886157 is a wasteful number, since it uses less digits than its factorization.

145886157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1204 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 145886157 is about 12078.3341980589. The cubic root of 145886157 is about 526.4268451374.

The spelling of 145886157 in words is "one hundred forty-five million, eight hundred eighty-six thousand, one hundred fifty-seven".

Divisors: 1 3 9 27 53 97 159 291 477 873 1051 1431 2619 3153 5141 9459 15423 28377 46269 55703 101947 138807 167109 305841 501327 917523 1503981 2752569 5403191 16209573 48628719 145886157