153132000 has 192 divisors, whose sum is σ = 573640704. Its totient is φ = 34982400.

The previous prime is 153131983. The next prime is 153132037. The reversal of 153132000 is 231351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 83089 + ... + 84911.

It is an arithmetic number, because the mean of its divisors is an integer number (2987712).

Almost surely, 2^153132000 is an apocalyptic number.

153132000 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 153132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286820352).

153132000 is an abundant number, since it is smaller than the sum of its proper divisors (420508704).

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

153132000 is a wasteful number, since it uses less digits than its factorization.

153132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 153132000 is about 12374.6515102446. The cubic root of 153132000 is about 535.0018924439.

Adding to 153132000 its reverse (231351), we get a palindrome (153363351).

The spelling of 153132000 in words is "one hundred fifty-three million, one hundred thirty-two thousand".