150612000 has 384 divisors, whose sum is σ = 618928128. Its totient is φ = 31104000.

The previous prime is 150611977. The next prime is 150612001. The reversal of 150612000 is 216051.

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

It is not an unprimeable number, because it can be changed into a prime (150612001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 923919 + ... + 924081.

It is an arithmetic number, because the mean of its divisors is an integer number (1611792).

Almost surely, 2^150612000 is an apocalyptic number.

150612000 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 150612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309464064).

150612000 is an abundant number, since it is smaller than the sum of its proper divisors (468316128).

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

150612000 is a wasteful number, since it uses less digits than its factorization.

150612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 150612000 is about 12272.4080766572. The cubic root of 150612000 is about 532.0509118932.

Adding to 150612000 its reverse (216051), we get a palindrome (150828051).

The spelling of 150612000 in words is "one hundred fifty million, six hundred twelve thousand".