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147131264 = 277164209
BaseRepresentation
bin10001100010100…
…00101110000000
3101020212001011002
420301100232000
5300131200024
622333311132
73434411060
oct1061205600
9336761132
10147131264
1176062995
12413354a8
1324636227
141577d3a0
15cdb46ae
hex8c50b80

147131264 has 32 divisors (see below), whose sum is σ = 334988400. Its totient is φ = 63055872.

The previous prime is 147131227. The next prime is 147131267. The reversal of 147131264 is 462131741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147131267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81209 + ... + 83000.

Almost surely, 2147131264 is an apocalyptic number.

147131264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

147131264 is an abundant number, since it is smaller than the sum of its proper divisors (187857136).

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

147131264 is an equidigital number, since it uses as much as digits as its factorization.

147131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164230 (or 164218 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 147131264 is about 12129.7676812048. The cubic root of 147131264 is about 527.9202511938.

The spelling of 147131264 in words is "one hundred forty-seven million, one hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 164209 328418 656836 1149463 1313672 2298926 2627344 4597852 5254688 9195704 10509376 18391408 21018752 36782816 73565632 147131264