Search a number
-
+
133876242720 = 253751134781
BaseRepresentation
bin111110010101110100…
…1010101100100100000
3110210120001202210000000
41330223221111210200
54143134304231340
6141300224300000
712446402200353
oct1745351254440
9423501683000
10133876242720
115185a715710
1221b42a71600
13c816c8508c
1466a020629a
1537382ded30
hex1f2ba55920

133876242720 has 384 divisors, whose sum is σ = 517489378560. Its totient is φ = 32453913600.

The previous prime is 133876242719. The next prime is 133876242749. The reversal of 133876242720 is 27242678331.

133876242720 is a `hidden beast` number, since 1 + 3 + 387 + 6 + 242 + 7 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3831730 + ... + 3866510.

It is an arithmetic number, because the mean of its divisors is an integer number (1347628590).

Almost surely, 2133876242720 is an apocalyptic number.

133876242720 is a gapful number since it is divisible by the number (10) 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 133876242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258744689280).

133876242720 is an abundant number, since it is smaller than the sum of its proper divisors (383613135840).

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

133876242720 is an equidigital number, since it uses as much as digits as its factorization.

133876242720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34828 (or 34802 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 133876242720 in words is "one hundred thirty-three billion, eight hundred seventy-six million, two hundred forty-two thousand, seven hundred twenty".