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136437000372 = 2234864148733
BaseRepresentation
bin111111100010001000…
…1110110100010110100
3111001011112021202010000
41333010101312202310
54213410333002442
6142402302231300
712600015240201
oct1770421664264
9431145252100
10136437000372
1152954147852
1222538585530
13cb346682aa
146864350ca8
15383801cd4c
hex1fc44768b4

136437000372 has 60 divisors (see below), whose sum is σ = 356721866116. Its totient is φ = 45472803840.

The previous prime is 136437000361. The next prime is 136437000373. The reversal of 136437000372 is 273000734631.

136437000372 is a `hidden beast` number, since 1 + 3 + 643 + 7 + 0 + 0 + 0 + 3 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43921261476 + 92515738896 = 209574^2 + 304164^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136437000373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2775318 + ... + 2824050.

Almost surely, 2136437000372 is an apocalyptic number.

136437000372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136437000372 is an abundant number, since it is smaller than the sum of its proper divisors (220284865744).

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

136437000372 is a wasteful number, since it uses less digits than its factorization.

136437000372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57390 (or 57379 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 136437000372 in words is "one hundred thirty-six billion, four hundred thirty-seven million, three hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 8641 17282 25923 34564 48733 51846 77769 97466 103692 146199 155538 194932 233307 292398 311076 438597 466614 584796 699921 877194 933228 1315791 1399842 1754388 2631582 2799684 3947373 5263164 7894746 15789492 421101853 842203706 1263305559 1684407412 2526611118 3789916677 5053222236 7579833354 11369750031 15159666708 22739500062 34109250093 45479000124 68218500186 136437000372