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145101664 = 25172311597
BaseRepresentation
bin10001010011000…
…01001101100000
3101010000221001201
420221201031200
5244121223124
622222010544
73411225631
oct1051411540
9333027051
10145101664
11749a7034
1240716a54
13240a5496
14153b1888
15cb13144
hex8a61360

145101664 has 48 divisors (see below), whose sum is σ = 315651168. Its totient is φ = 65308672.

The previous prime is 145101661. The next prime is 145101673. The reversal of 145101664 is 466101541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145101661) 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, 6714 + ... + 18310.

It is an arithmetic number, because the mean of its divisors is an integer number (6576066).

Almost surely, 2145101664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145101664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157825584).

145101664 is an abundant number, since it is smaller than the sum of its proper divisors (170549504).

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

145101664 is a wasteful number, since it uses less digits than its factorization.

145101664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11647 (or 11639 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 145101664 is about 12045.8152069505. The cubic root of 145101664 is about 525.4815403484.

The spelling of 145101664 in words is "one hundred forty-five million, one hundred one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 544 736 782 1564 3128 6256 11597 12512 23194 46388 92776 185552 197149 266731 371104 394298 533462 788596 1066924 1577192 2133848 3154384 4267696 4534427 6308768 8535392 9068854 18137708 36275416 72550832 145101664