151150400 has 84 divisors (see below), whose sum is σ = 393873228. Its totient is φ = 56893440.

The previous prime is 151150393. The next prime is 151150421. The reversal of 151150400 is 4051151.

151150400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 11343424 + 139806976 = 3368^2 + 11824^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24422 + ... + 29978.

It is an arithmetic number, because the mean of its divisors is an integer number (4688967).

Almost surely, 2^151150400 is an apocalyptic number.

151150400 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 151150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196936614).

151150400 is an abundant number, since it is smaller than the sum of its proper divisors (242722828).

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

151150400 is a wasteful number, since it uses less digits than its factorization.

151150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5596 (or 5581 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 151150400 is about 12294.3238935697. The cubic root of 151150400 is about 532.6841406553.

The spelling of 151150400 in words is "one hundred fifty-one million, one hundred fifty thousand, four hundred".