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149506128 = 2433346079
BaseRepresentation
bin10001110100101…
…00100001010000
3101102022200212000
420322110201100
5301233144003
622500234000
73463531632
oct1072244120
9342280760
10149506128
1177435192
124209b900
1324c88185
1415bdaa52
15d1d31a3
hex8e94850

149506128 has 40 divisors (see below), whose sum is σ = 429139200. Its totient is φ = 49835232.

The previous prime is 149506127. The next prime is 149506129. The reversal of 149506128 is 821605941.

149506128 is a `hidden beast` number, since 149 + 506 + 1 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (149506127) and next prime (149506129).

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

It is a junction number, because it is equal to n+sod(n) for n = 149506092 and 149506101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149506127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172608 + ... + 173471.

It is an arithmetic number, because the mean of its divisors is an integer number (10728480).

Almost surely, 2149506128 is an apocalyptic number.

149506128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

149506128 is an abundant number, since it is smaller than the sum of its proper divisors (279633072).

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

149506128 is a wasteful number, since it uses less digits than its factorization.

149506128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346096 (or 346084 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 149506128 is about 12227.2698506249. The cubic root of 149506128 is about 530.7455130888.

The spelling of 149506128 in words is "one hundred forty-nine million, five hundred six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 346079 692158 1038237 1384316 2076474 2768632 3114711 4152948 5537264 6229422 8305896 9344133 12458844 16611792 18688266 24917688 37376532 49835376 74753064 149506128