Search a number
-
+
136300752 = 24337247137
BaseRepresentation
bin10000001111111…
…00100011010000
3100111110210111000
420013330203100
5234343111002
621305222000
73243352200
oct1007744320
9314423430
10136300752
116aa35855
1239791900
1322313643
1414160400
15be7561c
hex81fc8d0

136300752 has 240 divisors, whose sum is σ = 468184320. Its totient is φ = 37836288.

The previous prime is 136300739. The next prime is 136300757. The reversal of 136300752 is 257003631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136300757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 994828 + ... + 994964.

It is an arithmetic number, because the mean of its divisors is an integer number (1950768).

Almost surely, 2136300752 is an apocalyptic number.

136300752 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 136300752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234092160).

136300752 is an abundant number, since it is smaller than the sum of its proper divisors (331883568).

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

136300752 is a wasteful number, since it uses less digits than its factorization.

136300752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 136300752 is about 11674.7913043446. The cubic root of 136300752 is about 514.6351165330.

The spelling of 136300752 in words is "one hundred thirty-six million, three hundred thousand, seven hundred fifty-two".