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145264131 = 335380153
BaseRepresentation
bin10001010100010…
…00111000000011
3101010100011221000
420222020320003
5244141423011
622225303043
73412503405
oct1052107003
9333304830
10145264131
1174aa8101
1240794a83
132413140c
1415414b75
15cb46356
hex8a88e03

145264131 has 8 divisors (see below), whose sum is σ = 215206160. Its totient is φ = 96842736.

The previous prime is 145264129. The next prime is 145264151. The reversal of 145264131 is 131462541.

It is a happy number.

145264131 is a `hidden beast` number, since 1 + 4 + 526 + 4 + 131 = 666.

It is not a de Polignac number, because 145264131 - 21 = 145264129 is a prime.

It is a super-2 number, since 2×1452641312 = 42203335510370322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 5380153 = 145264131 / (1 + 4 + 5 + 2 + 6 + 4 + 1 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145264095 and 145264104.

It is not an unprimeable number, because it can be changed into a prime (145264151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2690050 + ... + 2690103.

It is an arithmetic number, because the mean of its divisors is an integer number (26900770).

Almost surely, 2145264131 is an apocalyptic number.

145264131 is a deficient number, since it is larger than the sum of its proper divisors (69942029).

145264131 is an equidigital number, since it uses as much as digits as its factorization.

145264131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380162 (or 5380156 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 145264131 is about 12052.5570316012. The cubic root of 145264131 is about 525.6775903989.

The spelling of 145264131 in words is "one hundred forty-five million, two hundred sixty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 27 5380153 16140459 48421377 145264131