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145120092 = 223131754721
BaseRepresentation
bin10001010011001…
…01101101011100
3101010001212100020
420221211231130
5244122320332
622222232140
73411333435
oct1051455534
9333055306
10145120092
1174a09967
1240725650
13240b09a0
14153b848c
15cb1882c
hex8a65b5c

145120092 has 48 divisors (see below), whose sum is σ = 386118432. Its totient is φ = 42024960.

The previous prime is 145120091. The next prime is 145120121. The reversal of 145120092 is 290021541.

145120092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1451200922 = 42119682204176928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145120091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24709 + ... + 30012.

It is an arithmetic number, because the mean of its divisors is an integer number (8044134).

Almost surely, 2145120092 is an apocalyptic number.

145120092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145120092 is an abundant number, since it is smaller than the sum of its proper divisors (240998340).

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

145120092 is a wasteful number, since it uses less digits than its factorization.

145120092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54758 (or 54756 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 145120092 is about 12046.5800956122. The cubic root of 145120092 is about 525.5037848990.

The spelling of 145120092 in words is "one hundred forty-five million, one hundred twenty thousand, ninety-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 54721 109442 164163 218884 328326 656652 711373 930257 1422746 1860514 2134119 2790771 2845492 3721028 4268238 5581542 8536476 11163084 12093341 24186682 36280023 48373364 72560046 145120092