150102000 has 240 divisors, whose sum is σ = 543179520. Its totient is φ = 38592000.

The previous prime is 150101981. The next prime is 150102011. The reversal of 150102000 is 201051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×150102000² = 45061220808000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557866 + ... + 558134.

It is an arithmetic number, because the mean of its divisors is an integer number (2263248).

Almost surely, 2^150102000 is an apocalyptic number.

150102000 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 150102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271589760).

150102000 is an abundant number, since it is smaller than the sum of its proper divisors (393077520).

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

150102000 is a wasteful number, since it uses less digits than its factorization.

150102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 150102000 is about 12251.6121388167. The cubic root of 150102000 is about 531.4496919409.

Adding to 150102000 its reverse (201051), we get a palindrome (150303051).

The spelling of 150102000 in words is "one hundred fifty million, one hundred two thousand".