Search a number
-
+
152125152000 = 283531997963
BaseRepresentation
bin1000110110101101011…
…1011001101100000000
3112112122212022102100220
42031223113121230000
54443023014331000
6153515121543040
713663542312453
oct2155327315400
9475585272326
10152125152000
1159574756318
12255964a4a80
1311464935753
147511b0749a
153e554641a0
hex236b5d9b00

152125152000 has 288 divisors, whose sum is σ = 507886579200. Its totient is φ = 40357785600.

The previous prime is 152125151999. The next prime is 152125152037. The reversal of 152125152000 is 251521251.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 19100019 + ... + 19107981.

Almost surely, 2152125152000 is an apocalyptic number.

152125152000 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 152125152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253943289600).

152125152000 is an abundant number, since it is smaller than the sum of its proper divisors (355761427200).

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

152125152000 is an equidigital number, since it uses as much as digits as its factorization.

152125152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8196 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

Adding to 152125152000 its reverse (251521251), we get a palindrome (152376673251).

The spelling of 152125152000 in words is "one hundred fifty-two billion, one hundred twenty-five million, one hundred fifty-two thousand".