Search a number
-
+
134148960 = 2534511941
BaseRepresentation
bin1111111111011…
…11001101100000
3100100102110210000
413333233031200
5233320231320
621151140000
73216150561
oct777571540
9310373700
10134148960
11697a6110
1238b14600
1321a3c0aa
1413b60168
15bb9cc90
hex7fef360

134148960 has 240 divisors, whose sum is σ = 517022352. Its totient is φ = 32486400.

The previous prime is 134148919. The next prime is 134148991. The reversal of 134148960 is 69841431.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142090 + ... + 143030.

Almost surely, 2134148960 is an apocalyptic number.

134148960 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 134148960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258511176).

134148960 is an abundant number, since it is smaller than the sum of its proper divisors (382873392).

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

134148960 is a wasteful number, since it uses less digits than its factorization.

134148960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 134148960 is about 11582.2692077157. The cubic root of 134148960 is about 511.9125420277.

The spelling of 134148960 in words is "one hundred thirty-four million, one hundred forty-eight thousand, nine hundred sixty".