152866000 has 160 divisors (see below), whose sum is σ = 431758080. Its totient is φ = 51264000.

The previous prime is 152865983. The next prime is 152866037. The reversal of 152866000 is 668251.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 152866000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 853911 + ... + 854089.

It is an arithmetic number, because the mean of its divisors is an integer number (2698488).

Almost surely, 2^152866000 is an apocalyptic number.

152866000 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 152866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215879040).

152866000 is an abundant number, since it is smaller than the sum of its proper divisors (278892080).

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

152866000 is a wasteful number, since it uses less digits than its factorization.

152866000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 152866000 is about 12363.8990613803. The cubic root of 152866000 is about 534.6919354922.

It can be divided in two parts, 1528 and 66000, that added together give a triangular number (67528 = T₃₆₇).

The spelling of 152866000 in words is "one hundred fifty-two million, eight hundred sixty-six thousand".