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149136 = 24313239
BaseRepresentation
bin100100011010010000
321120120120
4210122100
514233021
63110240
71160541
oct443220
9246516
10149136
11a2059
1272380
1352b60
143c4c8
152e2c6
hex24690

149136 has 40 divisors (see below), whose sum is σ = 416640. Its totient is φ = 45696.

The previous prime is 149119. The next prime is 149143. The reversal of 149136 is 631941.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 8.

It is an unprimeable number.

149136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (10416).

2149136 is an apocalyptic number.

149136 is a gapful number since it is divisible by the number (16) 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 149136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208320).

149136 is an abundant number, since it is smaller than the sum of its proper divisors (267504).

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

149136 is a wasteful number, since it uses less digits than its factorization.

149136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 149136 is about 386.1813045708. The cubic root of 149136 is about 53.0307167381.

The spelling of 149136 in words is "one hundred forty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 239 312 478 624 717 956 1434 1912 2868 3107 3824 5736 6214 9321 11472 12428 18642 24856 37284 49712 74568 149136