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146545128 = 23322035349
BaseRepresentation
bin10001011110000…
…01100111101000
3101012202021010100
420233001213220
5300003421003
622312545400
73426420162
oct1057014750
9335667110
10146545128
11757a2584
12410b2260
132448c4c2
1415669932
15cceaba3
hex8bc19e8

146545128 has 24 divisors (see below), whose sum is σ = 396893250. Its totient is φ = 48848352.

The previous prime is 146545103. The next prime is 146545141. The reversal of 146545128 is 821545641.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 91814724 + 54730404 = 9582^2 + 7398^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 146545092 and 146545101.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1017603 + ... + 1017746.

Almost surely, 2146545128 is an apocalyptic number.

146545128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146545128 is an abundant number, since it is smaller than the sum of its proper divisors (250348122).

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

146545128 is a wasteful number, since it uses less digits than its factorization.

146545128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035361 (or 2035354 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 146545128 is about 12105.5825138652. The cubic root of 146545128 is about 527.2182819219.

The spelling of 146545128 in words is "one hundred forty-six million, five hundred forty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2035349 4070698 6106047 8141396 12212094 16282792 18318141 24424188 36636282 48848376 73272564 146545128