Search a number
-
+
152148000 = 2535331409
BaseRepresentation
bin10010001000110…
…01100000100000
3101121021220211010
421010121200200
5302422214000
623033020520
73525144114
oct1104314040
9347256733
10152148000
117897a054
1242b54740
13256a1804
14162c7744
15d555d50
hex9119820

152148000 has 192 divisors, whose sum is σ = 515773440. Its totient is φ = 39168000.

The previous prime is 152147999. The next prime is 152148019. The reversal of 152148000 is 841251.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371796 + ... + 372204.

It is an arithmetic number, because the mean of its divisors is an integer number (2686320).

Almost surely, 2152148000 is an apocalyptic number.

152148000 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 152148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257886720).

152148000 is an abundant number, since it is smaller than the sum of its proper divisors (363625440).

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

152148000 is a wasteful number, since it uses less digits than its factorization.

152148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 152148000 is about 12334.8287381706. The cubic root of 152148000 is about 533.8534855937.

Adding to 152148000 its reverse (841251), we get a palindrome (152989251).

The spelling of 152148000 in words is "one hundred fifty-two million, one hundred forty-eight thousand".