Search a number
-
+
136999061528 = 23723259103761
BaseRepresentation
bin111111110010111000…
…1111100100000011000
3111002121200220102001212
41333211301330200120
54221033224432103
6142534141202252
712616651544360
oct1774561744030
9432550812055
10136999061528
11531124426aa
1222674860388
13cbc3c3c564
1468b8c5d9a0
15386c5447d8
hex1fe5c7c818

136999061528 has 192 divisors, whose sum is σ = 315533836800. Its totient is φ = 54601367040.

The previous prime is 136999061497. The next prime is 136999061567. The reversal of 136999061528 is 825160999631.

136999061528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180024668 + ... + 180025428.

It is an arithmetic number, because the mean of its divisors is an integer number (1643405400).

Almost surely, 2136999061528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136999061528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157766918400).

136999061528 is an abundant number, since it is smaller than the sum of its proper divisors (178534775272).

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

136999061528 is a wasteful number, since it uses less digits than its factorization.

136999061528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 59.

The spelling of 136999061528 in words is "one hundred thirty-six billion, nine hundred ninety-nine million, sixty-one thousand, five hundred twenty-eight".