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151128200 = 23521574813
BaseRepresentation
bin10010000001000…
…00100010001000
3101112101002220202
421000200202020
5302142100300
622555111332
73513365666
oct1100404210
9345332822
10151128200
1178342943
1242742548
1325405592
14160ddc36
15d403ad5
hex9020888

151128200 has 48 divisors (see below), whose sum is σ = 353684580. Its totient is φ = 60053760.

The previous prime is 151128179. The next prime is 151128209. The reversal of 151128200 is 2821151.

It is a happy number.

151128200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 57851236 + 93276964 = 7606^2 + 9658^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (151128209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28994 + ... + 33806.

Almost surely, 2151128200 is an apocalyptic number.

151128200 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 151128200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176842290).

151128200 is an abundant number, since it is smaller than the sum of its proper divisors (202556380).

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

151128200 is a wasteful number, since it uses less digits than its factorization.

151128200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 151128200 is about 12293.4210047488. The cubic root of 151128200 is about 532.6580603033.

Adding to 151128200 its reverse (2821151), we get a palindrome (153949351).

The spelling of 151128200 in words is "one hundred fifty-one million, one hundred twenty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 314 628 785 1256 1570 3140 3925 4813 6280 7850 9626 15700 19252 24065 31400 38504 48130 96260 120325 192520 240650 481300 755641 962600 1511282 3022564 3778205 6045128 7556410 15112820 18891025 30225640 37782050 75564100 151128200