152469000 has 128 divisors (see below), whose sum is σ = 528652800. Its totient is φ = 40651200.

The previous prime is 152468959. The next prime is 152469007. The reversal of 152469000 is 964251.

It is a super-2 number, since 2×152469000² = 46493591922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (152469007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24177 + ... + 29823.

It is an arithmetic number, because the mean of its divisors is an integer number (4130100).

Almost surely, 2^152469000 is an apocalyptic number.

152469000 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 152469000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264326400).

152469000 is an abundant number, since it is smaller than the sum of its proper divisors (376183800).

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

152469000 is a wasteful number, since it uses less digits than its factorization.

152469000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 152469000 is about 12347.8338181237. The cubic root of 152469000 is about 534.2286610675.

The spelling of 152469000 in words is "one hundred fifty-two million, four hundred sixty-nine thousand".