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132140306536400 = 24521917386882439
BaseRepresentation
bin11110000010111001010000…
…000010000001011111010000
3122022212111020011100200101002
4132002321100002001133100
5114304441321433131100
61145012230243001132
736555551660121131
oct3602712002013720
9568774204320332
10132140306536400
1139116431170518
12129a18153691a8
135896a15057516
14248b8a6c71c88
1510424151482d5
hex782e500817d0

132140306536400 has 60 divisors (see below), whose sum is σ = 334175880496800. Its totient is φ = 50074221421440.

The previous prime is 132140306536393. The next prime is 132140306536421. The reversal of 132140306536400 is 4635603041231.

It is a super-2 number, since 2×1321403065364002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8693433620 + ... + 8693448819.

It is an arithmetic number, because the mean of its divisors is an integer number (5569598008280).

Almost surely, 2132140306536400 is an apocalyptic number.

132140306536400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132140306536400 is an abundant number, since it is smaller than the sum of its proper divisors (202035573960400).

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

132140306536400 is a wasteful number, since it uses less digits than its factorization.

132140306536400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17386882476 (or 17386882465 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

Adding to 132140306536400 its reverse (4635603041231), we get a palindrome (136775909577631).

The spelling of 132140306536400 in words is "one hundred thirty-two trillion, one hundred forty billion, three hundred six million, five hundred thirty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 17386882439 34773764878 69547529756 86934412195 139095059512 173868824390 278190119024 330350766341 347737648780 434672060975 660701532682 695475297560 869344121950 1321403065364 1390950595120 1651753831705 1738688243900 2642806130728 3303507663410 3477376487800 5285612261456 6607015326820 6954752975600 8258769158525 13214030653640 16517538317050 26428061307280 33035076634100 66070153268200 132140306536400