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146135000 = 2354112657
BaseRepresentation
bin10001011010111…
…01011111011000
3101011222102112102
420231131133120
5244402310000
622300102532
73423061364
oct1055353730
9334872472
10146135000
1175542430
1240b34a48
132437791b
14155a02a4
15cc693d5
hex8b5d7d8

146135000 has 80 divisors (see below), whose sum is σ = 373661640. Its totient is φ = 53120000.

The previous prime is 146134993. The next prime is 146135021. The reversal of 146135000 is 531641.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53672 + ... + 56328.

Almost surely, 2146135000 is an apocalyptic number.

146135000 is a gapful number since it is divisible by the number (10) 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 146135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186830820).

146135000 is an abundant number, since it is smaller than the sum of its proper divisors (227526640).

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

146135000 is a wasteful number, since it uses less digits than its factorization.

146135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 146135000 is about 12088.6310225765. The cubic root of 146135000 is about 526.7259898638.

Adding to 146135000 its reverse (531641), we get a palindrome (146666641).

The spelling of 146135000 in words is "one hundred forty-six million, one hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 625 1000 1100 1250 1375 2200 2500 2657 2750 5000 5314 5500 6875 10628 11000 13285 13750 21256 26570 27500 29227 53140 55000 58454 66425 106280 116908 132850 146135 233816 265700 292270 332125 531400 584540 664250 730675 1169080 1328500 1461350 1660625 2657000 2922700 3321250 3653375 5845400 6642500 7306750 13285000 14613500 18266875 29227000 36533750 73067500 146135000