151200000 has 432 divisors, whose sum is σ = 638709120. Its totient is φ = 34560000.

The previous prime is 151199981. The next prime is 151200031. The reversal of 151200000 is 2151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×151200000² = 45722880000000000, which contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 21599997 + ... + 21600003.

Almost surely, 2^151200000 is an apocalyptic number.

151200000 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 151200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319354560).

151200000 is an abundant number, since it is smaller than the sum of its proper divisors (487509120).

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

151200000 is an frugal number, since it uses more digits than its factorization.

151200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 17 counting only the distinct ones).

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

The square root of 151200000 is about 12296.3409191515. The cubic root of 151200000 is about 532.7424010456.

Adding to 151200000 its reverse (2151), we get a palindrome (151202151).

The spelling of 151200000 in words is "one hundred fifty-one million, two hundred thousand".