Search a number
-
+
136357452 = 223371119863
BaseRepresentation
bin10000010000010…
…10011001001100
3100111120200021000
420020022121030
5234401414302
621310340300
73244006410
oct1010123114
9314520230
10136357452
116aa74410
12397ba690
13223333aa
1414176d40
15be8731c
hex820a64c

136357452 has 192 divisors, whose sum is σ = 464486400. Its totient is φ = 33514560.

The previous prime is 136357451. The next prime is 136357453. The reversal of 136357452 is 254753631.

136357452 is a `hidden beast` number, since 1 + 36 + 3 + 574 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (136357451) and next prime (136357453).

It is a super-3 number, since 3×1363574523 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (136357451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157573 + ... + 158435.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 2136357452 is an apocalyptic number.

136357452 is a gapful number since it is divisible by the number (12) 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 136357452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

136357452 is an abundant number, since it is smaller than the sum of its proper divisors (328128948).

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

136357452 is a wasteful number, since it uses less digits than its factorization.

136357452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 136357452 is about 11677.2193607896. The cubic root of 136357452 is about 514.7064679756.

The spelling of 136357452 in words is "one hundred thirty-six million, three hundred fifty-seven thousand, four hundred fifty-two".