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133139045520 = 243451317312999
BaseRepresentation
bin111101111111110110…
…1001001110010010000
3110201122200121021120000
41323333231021302100
54140132043424040
6141055131450000
712422211133365
oct1737755116220
9421580537500
10133139045520
115151157a528
1221977bb6900
13c72a320b10
14663034846c
1536e3721130
hex1effb49c90

133139045520 has 800 divisors, whose sum is σ = 544465152000. Its totient is φ = 29839933440.

The previous prime is 133139045461. The next prime is 133139045527. The reversal of 133139045520 is 25540931331.

133139045520 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 90 + 45 + 520 = 666.

It is a super-3 number, since 3×1331390455203 (a number of 34 digits) contains 333 as substring.

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 (133139045527) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44392981 + ... + 44395979.

It is an arithmetic number, because the mean of its divisors is an integer number (680581440).

Almost surely, 2133139045520 is an apocalyptic number.

133139045520 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 133139045520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272232576000).

133139045520 is an abundant number, since it is smaller than the sum of its proper divisors (411326106480).

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

133139045520 is a wasteful number, since it uses less digits than its factorization.

133139045520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 133139045520 its reverse (25540931331), we get a palindrome (158679976851).

The spelling of 133139045520 in words is "one hundred thirty-three billion, one hundred thirty-nine million, forty-five thousand, five hundred twenty".