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135724861400 = 23526710128721
BaseRepresentation
bin111111001100111010…
…1010000011111011000
3110222022220021100002112
41332121311100133120
54210431031031100
6142203502451452
712543250200242
oct1763165203730
9428286240075
10135724861400
1152619167247
1222379b93b88
13ca4cc6889b
1467d7937092
1537e574db35
hex1f99d507d8

135724861400 has 48 divisors (see below), whose sum is σ = 320270189640. Its totient is φ = 53479641600.

The previous prime is 135724861397. The next prime is 135724861499. The reversal of 135724861400 is 4168427531.

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, 5050961 + ... + 5077760.

Almost surely, 2135724861400 is an apocalyptic number.

135724861400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135724861400 is an abundant number, since it is smaller than the sum of its proper divisors (184545328240).

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

135724861400 is a wasteful number, since it uses less digits than its factorization.

135724861400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10128804 (or 10128795 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 135724861400 in words is "one hundred thirty-five billion, seven hundred twenty-four million, eight hundred sixty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 134 200 268 335 536 670 1340 1675 2680 3350 6700 13400 10128721 20257442 40514884 50643605 81029768 101287210 202574420 253218025 405148840 506436050 678624307 1012872100 1357248614 2025744200 2714497228 3393121535 5428994456 6786243070 13572486140 16965607675 27144972280 33931215350 67862430700 135724861400