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154135120 = 2457326393
BaseRepresentation
bin10010010111111…
…10101001010000
3101202000212122011
421023332221100
5303424310440
623143352304
73551061346
oct1113765120
9352025564
10154135120
117a006aa7
1243752694
1325c19119
1416683996
15d7e99ea
hex92fea50

154135120 has 40 divisors (see below), whose sum is σ = 363287016. Its totient is φ = 60807168.

The previous prime is 154135103. The next prime is 154135123. The reversal of 154135120 is 21531451.

It is a happy number.

154135120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15555136 + 138579984 = 3944^2 + 11772^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 154135091 and 154135100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154135123) 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, 7357 + ... + 19036.

Almost surely, 2154135120 is an apocalyptic number.

154135120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154135120 is an abundant number, since it is smaller than the sum of its proper divisors (209151896).

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

154135120 is a wasteful number, since it uses less digits than its factorization.

154135120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26479 (or 26473 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 154135120 is about 12415.1165922838. The cubic root of 154135120 is about 536.1675610380.

Adding to 154135120 its reverse (21531451), we get a palindrome (175666571).

The spelling of 154135120 in words is "one hundred fifty-four million, one hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 26393 52786 105572 131965 211144 263930 422288 527860 1055720 1926689 2111440 3853378 7706756 9633445 15413512 19266890 30827024 38533780 77067560 154135120