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152136100 = 22521521361
BaseRepresentation
bin10010001000101…
…10100110100100
3101121021022111101
421010112212210
5302421323400
623032445444
73525064324
oct1104264644
9347238441
10152136100
1178971116
1242b49884
132569927c
14162c3284
15d55256a
hex91169a4

152136100 has 18 divisors (see below), whose sum is σ = 330135554. Its totient is φ = 60854400.

The previous prime is 152136091. The next prime is 152136109. The reversal of 152136100 is 1631251.

It is an interprime number because it is at equal distance from previous prime (152136091) and next prime (152136109).

It can be written as a sum of positive squares in 3 ways, for example, as 38415204 + 113720896 = 6198^2 + 10664^2 .

It is not an unprimeable number, because it can be changed into a prime (152136109) 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 5 ways as a sum of consecutive naturals, for example, 760581 + ... + 760780.

Almost surely, 2152136100 is an apocalyptic number.

152136100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152136100 is an abundant number, since it is smaller than the sum of its proper divisors (177999454).

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

152136100 is a wasteful number, since it uses less digits than its factorization.

152136100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521375 (or 1521368 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 152136100 is about 12334.3463547932. The cubic root of 152136100 is about 533.8395670799.

Adding to 152136100 its reverse (1631251), we get a palindrome (153767351).

It can be divided in two parts, 1521 and 36100, that multiplied together give a square (54908100 = 74102).

The spelling of 152136100 in words is "one hundred fifty-two million, one hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1521361 3042722 6085444 7606805 15213610 30427220 38034025 76068050 152136100