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120152133 = 3329173887
BaseRepresentation
bin1110010100101…
…10000001000101
322101002100202000
413022112001011
5221224332013
615531135513
72656163523
oct712260105
9271070660
10120152133
1161906092
12342a4599
131bb7b24a
1411d59313
15a835973
hex7296045

120152133 has 32 divisors (see below), whose sum is σ = 185414400. Its totient is φ = 76805568.

The previous prime is 120152129. The next prime is 120152159. The reversal of 120152133 is 331251021.

It is not a de Polignac number, because 120152133 - 22 = 120152129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120152533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135016 + ... + 135902.

It is an arithmetic number, because the mean of its divisors is an integer number (5794200).

Almost surely, 2120152133 is an apocalyptic number.

It is an amenable number.

120152133 is a deficient number, since it is larger than the sum of its proper divisors (65262267).

120152133 is a wasteful number, since it uses less digits than its factorization.

120152133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 120152133 is about 10961.3928403283. The cubic root of 120152133 is about 493.4507669772.

The spelling of 120152133 in words is "one hundred twenty million, one hundred fifty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 27 29 87 173 261 519 783 887 1557 2661 4671 5017 7983 15051 23949 25723 45153 77169 135459 153451 231507 460353 694521 1381059 4143177 4450079 13350237 40050711 120152133