151850400 has 288 divisors, whose sum is σ = 552964608. Its totient is φ = 35942400.

The previous prime is 151850399. The next prime is 151850401. The reversal of 151850400 is 4058151.

151850400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (151850399) and next prime (151850401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151850401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967122 + ... + 967278.

It is an arithmetic number, because the mean of its divisors is an integer number (1920016).

Almost surely, 2^151850400 is an apocalyptic number.

151850400 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 151850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276482304).

151850400 is an abundant number, since it is smaller than the sum of its proper divisors (401114208).

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

151850400 is a wasteful number, since it uses less digits than its factorization.

151850400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 151850400 is about 12322.7594312313. The cubic root of 151850400 is about 533.5051876735.

The spelling of 151850400 in words is "one hundred fifty-one million, eight hundred fifty thousand, four hundred".