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159125400 = 233252773173
BaseRepresentation
bin10010111110000…
…00111110011000
3102002102102000100
421133000332120
5311214003100
623442335400
73641354310
oct1137007630
9362372010
10159125400
11819052a5
124535a560
1326c75655
14171c2440
15de83400
hex97c0f98

159125400 has 288 divisors, whose sum is σ = 622683360. Its totient is φ = 35665920.

The previous prime is 159125377. The next prime is 159125401. The reversal of 159125400 is 4521951.

159125400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159125401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 919714 + ... + 919886.

It is an arithmetic number, because the mean of its divisors is an integer number (2162095).

Almost surely, 2159125400 is an apocalyptic number.

159125400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311341680).

159125400 is an abundant number, since it is smaller than the sum of its proper divisors (463557960).

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

159125400 is a wasteful number, since it uses less digits than its factorization.

159125400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 159125400 is about 12614.4916663336. The cubic root of 159125400 is about 541.8925364391.

It can be divided in two parts, 15912 and 5400, that added together give a palindrome (21312).

The spelling of 159125400 in words is "one hundred fifty-nine million, one hundred twenty-five thousand, four hundred".