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137823191040 = 216351947157
BaseRepresentation
bin1000000001011011100…
…1110000000000000000
3111011202010122112020010
42000112321300000000
54224230214103130
6143152021144520
712646246536333
oct2002671600000
9434663575203
10137823191040
11534a5664377
122286485b140
13ccc58c0362
1469564aa61a
1538b9a860b0
hex2016e70000

137823191040 has 544 divisors, whose sum is σ = 477140382720. Its totient is φ = 33860616192.

The previous prime is 137823191029. The next prime is 137823191063. The reversal of 137823191040 is 40191328731.

It is a self number, because there is not a number n which added to its sum of digits gives 137823191040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877854642 + ... + 877854798.

Almost surely, 2137823191040 is an apocalyptic number.

137823191040 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 137823191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238570191360).

137823191040 is an abundant number, since it is smaller than the sum of its proper divisors (339317191680).

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

137823191040 is an equidigital number, since it uses as much as digits as its factorization.

137823191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 137823191040 in words is "one hundred thirty-seven billion, eight hundred twenty-three million, one hundred ninety-one thousand, forty".