Search a number
-
+
152144525520 = 243251331524347
BaseRepresentation
bin1000110110110010000…
…1010011100011010000
3112112201012202200211200
42031230201103203100
54443042444304040
6153521053111200
713664166062151
oct2155441234320
9475635680750
10152144525520
1159584688999
12255a0a88500
1311468959980
14751450b928
153e56ede630
hex236c8538d0

152144525520 has 240 divisors, whose sum is σ = 568007311872. Its totient is φ = 36242795520.

The previous prime is 152144525501. The next prime is 152144525531. The reversal of 152144525520 is 25525441251.

152144525520 is a `hidden beast` number, since 1 + 52 + 1 + 4 + 4 + 52 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27987 + ... + 552333.

Almost surely, 2152144525520 is an apocalyptic number.

152144525520 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 152144525520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284003655936).

152144525520 is an abundant number, since it is smaller than the sum of its proper divisors (415862786352).

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

152144525520 is a wasteful number, since it uses less digits than its factorization.

152144525520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524410 (or 524401 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

Adding to 152144525520 its reverse (25525441251), we get a palindrome (177669966771).

The spelling of 152144525520 in words is "one hundred fifty-two billion, one hundred forty-four million, five hundred twenty-five thousand, five hundred twenty".