Search a number
-
+
137672599232 = 26723291313517
BaseRepresentation
bin1000000000110111101…
…1010010011011000000
3111011100122021200002202
42000031323102123000
54223423141133412
6143125041332332
712642440533220
oct2001573223300
9434318250082
10137672599232
1153428658533
12228223370a8
13cca0644c8c
1469404aa080
1538ab73b3c2
hex200ded26c0

137672599232 has 224 divisors, whose sum is σ = 339700331520. Its totient is φ = 54059765760.

The previous prime is 137672599201. The next prime is 137672599243. The reversal of 137672599232 is 232995276731.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 39143138 + ... + 39146654.

Almost surely, 2137672599232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137672599232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169850165760).

137672599232 is an abundant number, since it is smaller than the sum of its proper divisors (202027732288).

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

137672599232 is a wasteful number, since it uses less digits than its factorization.

137672599232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3709 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 56.

The spelling of 137672599232 in words is "one hundred thirty-seven billion, six hundred seventy-two million, five hundred ninety-nine thousand, two hundred thirty-two".