Search a number
-
+
134356531764 = 2237213473671019
BaseRepresentation
bin111110100100001000…
…1011111101000110100
3110211210112111222201010
41331020101133220310
54200130233004024
6141420022432220
712464323451100
oct1751021375064
9424715458633
10134356531764
1151a86839a04
1222057892670
13c892628490
146707d0a900
153765562b29
hex1f4845fa34

134356531764 has 288 divisors, whose sum is σ = 402578104320. Its totient is φ = 34552320768.

The previous prime is 134356531721. The next prime is 134356531807. The reversal of 134356531764 is 467135653431.

It is an interprime number because it is at equal distance from previous prime (134356531721) and next prime (134356531807).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131850847 + ... + 131851865.

It is an arithmetic number, because the mean of its divisors is an integer number (1397840640).

Almost surely, 2134356531764 is an apocalyptic number.

134356531764 is a gapful number since it is divisible by the number (14) 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 134356531764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201289052160).

134356531764 is an abundant number, since it is smaller than the sum of its proper divisors (268221572556).

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

134356531764 is a wasteful number, since it uses less digits than its factorization.

134356531764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1458 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 48.

The spelling of 134356531764 in words is "one hundred thirty-four billion, three hundred fifty-six million, five hundred thirty-one thousand, seven hundred sixty-four".