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137409004260 = 223451125393037
BaseRepresentation
bin111111111111000110…
…1110000001011100100
3111010200021021122210000
41333332031300023210
54222403201114020
6143042543501300
712633060156603
oct1777615601344
9433607248700
10137409004260
1153302889750
1222769bb7830
13cc5ab52618
146917491a3a
15389351e090
hex1ffe3702e4

137409004260 has 240 divisors, whose sum is σ = 470584255680. Its totient is φ = 33287189760.

The previous prime is 137409004253. The next prime is 137409004261. The reversal of 137409004260 is 62400904731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (137409004261) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45243462 + ... + 45246498.

It is an arithmetic number, because the mean of its divisors is an integer number (1960767732).

Almost surely, 2137409004260 is an apocalyptic number.

137409004260 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 137409004260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235292127840).

137409004260 is an abundant number, since it is smaller than the sum of its proper divisors (333175251420).

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

137409004260 is a wasteful number, since it uses less digits than its factorization.

137409004260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5608 (or 5597 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 137409004260 its reverse (62400904731), we get a palindrome (199809908991).

The spelling of 137409004260 in words is "one hundred thirty-seven billion, four hundred nine million, four thousand, two hundred sixty".