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136437000391 = 3138364717761
BaseRepresentation
bin111111100010001000…
…1110110100011000111
3111001011112021202010201
41333010101312203013
54213410333003031
6142402302231331
712600015240226
oct1770421664307
9431145252121
10136437000391
115295414786a
1222538585547
13cb346682c3
146864350cbd
15383801cd61
hex1fc44768c7

136437000391 has 16 divisors (see below), whose sum is σ = 141432127488. Its totient is φ = 131480121600.

The previous prime is 136437000373. The next prime is 136437000443. The reversal of 136437000391 is 193000734631.

It is a cyclic number.

It is not a de Polignac number, because 136437000391 - 217 = 136436869319 is a prime.

It is a super-4 number, since 4×1364370003914 (a number of 46 digits) contains 4444 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 136437000391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136437000311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7672951 + ... + 7690711.

It is an arithmetic number, because the mean of its divisors is an integer number (8839507968).

Almost surely, 2136437000391 is an apocalyptic number.

136437000391 is the 233613-rd centered pentagonal number.

136437000391 is a deficient number, since it is larger than the sum of its proper divisors (4995127097).

136437000391 is a wasteful number, since it uses less digits than its factorization.

136437000391 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18822.

The product of its (nonzero) digits is 40824, while the sum is 37.

The spelling of 136437000391 in words is "one hundred thirty-six billion, four hundred thirty-seven million, three hundred ninety-one", and thus it is an aban number.

Divisors: 1 31 383 647 11873 17761 20057 247801 550591 6802463 7681831 11491367 210876353 356232377 4401193561 136437000391