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130137354 = 2341137109
BaseRepresentation
bin1111100000110…
…11110100001010
3100001212122220000
413300123310022
5231303343404
620525143430
73140102124
oct760336412
9301778800
10130137354
1167506136
12376bab76
1320c66169
14133d8214
15b659339
hex7c1bd0a

130137354 has 40 divisors (see below), whose sum is σ = 294226020. Its totient is φ = 42989184.

The previous prime is 130137353. The next prime is 130137367. The reversal of 130137354 is 453731031.

130137354 is a `hidden beast` number, since 1 + 301 + 3 + 7 + 354 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97476129 + 32661225 = 9873^2 + 5715^2 .

It is a super-2 number, since 2×1301373542 = 33871461812242632, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130137353) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14752 + ... + 21860.

Almost surely, 2130137354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130137354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147113010).

130137354 is an abundant number, since it is smaller than the sum of its proper divisors (164088666).

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

130137354 is a wasteful number, since it uses less digits than its factorization.

130137354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7236 (or 7227 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 130137354 is about 11407.7760321633. The cubic root of 130137354 is about 506.7580512873.

Adding to 130137354 its reverse (453731031), we get a palindrome (583868385).

The spelling of 130137354 in words is "one hundred thirty million, one hundred thirty-seven thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 81 113 162 226 339 678 1017 2034 3051 6102 7109 9153 14218 18306 21327 42654 63981 127962 191943 383886 575829 803317 1151658 1606634 2409951 4819902 7229853 14459706 21689559 43379118 65068677 130137354