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149834160 = 243257231137
BaseRepresentation
bin10001110111001…
…00100110110000
3101102221100211100
420323210212300
5301324143120
622511244400
73466366200
oct1073444660
9342840740
10149834160
1177639693
1242219700
1325071588
1415c84400
15d24a490
hex8ee49b0

149834160 has 360 divisors, whose sum is σ = 608639616. Its totient is φ = 32901120.

The previous prime is 149834149. The next prime is 149834161. The reversal of 149834160 is 61438941.

149834160 is a `hidden beast` number, since 1 + 498 + 3 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (149834161) 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 71 ways as a sum of consecutive naturals, for example, 1093612 + ... + 1093748.

Almost surely, 2149834160 is an apocalyptic number.

149834160 is a gapful number since it is divisible by the number (10) 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 149834160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304319808).

149834160 is an abundant number, since it is smaller than the sum of its proper divisors (458805456).

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

149834160 is a wasteful number, since it uses less digits than its factorization.

149834160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 149834160 is about 12240.6764518959. The cubic root of 149834160 is about 531.1333998311.

The spelling of 149834160 in words is "one hundred forty-nine million, eight hundred thirty-four thousand, one hundred sixty".