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140133132 = 223319471453
BaseRepresentation
bin10000101101001…
…00001100001100
3100202200111112000
420112210030030
5241333230012
621523312300
73321053256
oct1026441414
9322614460
10140133132
1172113107
123ab1b690
1323055b19
141487acd6
15c480ddc
hex85a430c

140133132 has 96 divisors (see below), whose sum is σ = 390835200. Its totient is φ = 43281216.

The previous prime is 140133131. The next prime is 140133139. The reversal of 140133132 is 231331041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (140133131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95718 + ... + 97170.

It is an arithmetic number, because the mean of its divisors is an integer number (4071200).

Almost surely, 2140133132 is an apocalyptic number.

140133132 is a gapful number since it is divisible by the number (12) 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 140133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195417600).

140133132 is an abundant number, since it is smaller than the sum of its proper divisors (250702068).

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

140133132 is a wasteful number, since it uses less digits than its factorization.

140133132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 140133132 is about 11837.7840831804. The cubic root of 140133132 is about 519.4139502126.

Adding to 140133132 its reverse (231331041), we get a palindrome (371464173).

The spelling of 140133132 in words is "one hundred forty million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 47 54 57 76 94 108 114 141 171 188 228 282 342 423 513 564 684 846 893 1026 1269 1453 1692 1786 2052 2538 2679 2906 3572 4359 5076 5358 5812 8037 8718 10716 13077 16074 17436 24111 26154 27607 32148 39231 48222 52308 55214 68291 78462 82821 96444 110428 136582 156924 165642 204873 248463 273164 331284 409746 496926 614619 745389 819492 993852 1229238 1297529 1490778 1843857 2458476 2595058 2981556 3687714 3892587 5190116 7375428 7785174 11677761 15570348 23355522 35033283 46711044 70066566 140133132