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153146142 = 23222338153
BaseRepresentation
bin10010010000011…
…01001100011110
3101200011122000100
421020031030132
5303201134032
623110241530
73536502132
oct1110151436
9350148010
10153146142
11794a0a66
12433562a6
1325960c26
14164a73c2
15d6a197c
hex920d31e

153146142 has 24 divisors (see below), whose sum is σ = 333313344. Its totient is φ = 50818464.

The previous prime is 153146141. The next prime is 153146153. The reversal of 153146142 is 241641351.

It is a happy number.

153146142 is a `hidden beast` number, since 15 + 31 + 4 + 614 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153146141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15063 + ... + 23090.

It is an arithmetic number, because the mean of its divisors is an integer number (13888056).

Almost surely, 2153146142 is an apocalyptic number.

153146142 is an abundant number, since it is smaller than the sum of its proper divisors (180167202).

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

153146142 is a wasteful number, since it uses less digits than its factorization.

153146142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38384 (or 38381 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 153146142 is about 12375.2229070833. Note that the first 3 decimals coincide. The cubic root of 153146142 is about 535.0183613811.

Adding to 153146142 its reverse (241641351), we get a palindrome (394787493).

The spelling of 153146142 in words is "one hundred fifty-three million, one hundred forty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 223 446 669 1338 2007 4014 38153 76306 114459 228918 343377 686754 8508119 17016238 25524357 51048714 76573071 153146142