151032000 has 448 divisors, whose sum is σ = 608624640. Its totient is φ = 32256000.

The previous prime is 151031999. The next prime is 151032017. The reversal of 151032000 is 230151.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4871985 + ... + 4872015.

Almost surely, 2^151032000 is an apocalyptic number.

151032000 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 151032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304312320).

151032000 is an abundant number, since it is smaller than the sum of its proper divisors (457592640).

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

151032000 is a wasteful number, since it uses less digits than its factorization.

151032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 151032000 is about 12289.5077200025. The cubic root of 151032000 is about 532.5450159215.

Adding to 151032000 its reverse (230151), we get a palindrome (151262151).

The spelling of 151032000 in words is "one hundred fifty-one million, thirty-two thousand".