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152851720140 = 22335727379133
BaseRepresentation
bin1000111001011010101…
…1000010011111001100
3112121112111110220111000
42032112223002133030
510001020020021030
6154115154500300
714020544120100
oct2162653023714
9477474426430
10152851720140
11599078a1759
1225759894690
131154c317a22
1475803d9900
153e99133860
hex2396ac27cc

152851720140 has 288 divisors, whose sum is σ = 560762516160. Its totient is φ = 34458504192.

The previous prime is 152851720123. The next prime is 152851720183. The reversal of 152851720140 is 41027158251.

It is a happy number.

152851720140 is a `hidden beast` number, since 1 + 528 + 51 + 72 + 0 + 14 + 0 = 666.

152851720140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 152851720095 and 152851720104.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1892014 + ... + 1971146.

It is an arithmetic number, because the mean of its divisors is an integer number (1947092070).

Almost surely, 2152851720140 is an apocalyptic number.

152851720140 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 152851720140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280381258080).

152851720140 is an abundant number, since it is smaller than the sum of its proper divisors (407910796020).

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

152851720140 is a wasteful number, since it uses less digits than its factorization.

152851720140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79238 (or 79223 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

Adding to 152851720140 its reverse (41027158251), we get a palindrome (193878878391).

The spelling of 152851720140 in words is "one hundred fifty-two billion, eight hundred fifty-one million, seven hundred twenty thousand, one hundred forty".