Search a number
-
+
136075851450 = 233527111777003
BaseRepresentation
bin111111010111011000…
…0001011011010111010
3111000020100201110221000
41332232300023122322
54212140404221300
6142302401425430
712555041436660
oct1765660133272
9430210643830
10136075851450
11527892a8270
122245763b276
13caa78aa5c6
14682c3c0c30
153816480c00
hex1faec0b6ba

136075851450 has 384 divisors, whose sum is σ = 494994032640. Its totient is φ = 26611891200.

The previous prime is 136075851409. The next prime is 136075851451. The reversal of 136075851450 is 54158570631.

136075851450 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 7 + 585 + 14 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 136075851396 and 136075851405.

It is not an unprimeable number, because it can be changed into a prime (136075851451) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1728649 + ... + 1805651.

It is an arithmetic number, because the mean of its divisors is an integer number (1289046960).

Almost surely, 2136075851450 is an apocalyptic number.

136075851450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 136075851450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247497016320).

136075851450 is an abundant number, since it is smaller than the sum of its proper divisors (358918181190).

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

136075851450 is a wasteful number, since it uses less digits than its factorization.

136075851450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77059 (or 77048 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 136075851450 in words is "one hundred thirty-six billion, seventy-five million, eight hundred fifty-one thousand, four hundred fifty".