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130137400 = 23526110667
BaseRepresentation
bin1111100000110…
…11110100111000
3100001212122221201
413300123310320
5231303344100
620525143544
73140102221
oct760336470
9301778851
10130137400
1167506178
12376babb4
1320c661a3
14133d8248
15b65936a
hex7c1bd38

130137400 has 48 divisors (see below), whose sum is σ = 307558440. Its totient is φ = 51196800.

The previous prime is 130137379. The next prime is 130137401. The reversal of 130137400 is 4731031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130137401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6867 + ... + 17533.

Almost surely, 2130137400 is an apocalyptic number.

130137400 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 130137400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153779220).

130137400 is an abundant number, since it is smaller than the sum of its proper divisors (177421040).

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

130137400 is a wasteful number, since it uses less digits than its factorization.

130137400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10744 (or 10735 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 130137400 is about 11407.7780483318. The cubic root of 130137400 is about 506.7581109957.

Adding to 130137400 its reverse (4731031), we get a palindrome (134868431).

The spelling of 130137400 in words is "one hundred thirty million, one hundred thirty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 10667 12200 21334 42668 53335 85336 106670 213340 266675 426680 533350 650687 1066700 1301374 2133400 2602748 3253435 5205496 6506870 13013740 16267175 26027480 32534350 65068700 130137400