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137500001376 = 2534912917091
BaseRepresentation
bin1000000000001110100…
…0111000010001100000
3111010220121111210100120
42000003220320101200
54223100000021001
6143055554120240
712635243504403
oct2000350702140
9433817453316
10137500001376
115334a191181
1222794580080
13cc7396337a
1469255bbd3a
15389b4e6236
hex2003a38460

137500001376 has 48 divisors (see below), whose sum is σ = 361672734528. Its totient is φ = 45739971200.

The previous prime is 137500001371. The next prime is 137500001417. The reversal of 137500001376 is 673100005731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137500001371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1411410 + ... + 1505681.

It is an arithmetic number, because the mean of its divisors is an integer number (7534848636).

Almost surely, 2137500001376 is an apocalyptic number.

137500001376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137500001376 is an abundant number, since it is smaller than the sum of its proper divisors (224172733152).

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

137500001376 is a wasteful number, since it uses less digits than its factorization.

137500001376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917595 (or 2917587 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The spelling of 137500001376 in words is "one hundred thirty-seven billion, five hundred million, one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 491 982 1473 1964 2946 3928 5892 7856 11784 15712 23568 47136 2917091 5834182 8751273 11668364 17502546 23336728 35005092 46673456 70010184 93346912 140020368 280040736 1432291681 2864583362 4296875043 5729166724 8593750086 11458333448 17187500172 22916666896 34375000344 45833333792 68750000688 137500001376