151448400 has 240 divisors, whose sum is σ = 555073600. Its totient is φ = 39191040.

The previous prime is 151448387. The next prime is 151448413. The reversal of 151448400 is 4844151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (151448387) and next prime (151448413).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 399411 + ... + 399789.

Almost surely, 2^151448400 is an apocalyptic number.

151448400 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 151448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277536800).

151448400 is an abundant number, since it is smaller than the sum of its proper divisors (403625200).

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

151448400 is a wasteful number, since it uses less digits than its factorization.

151448400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 151448400 is about 12306.4373398640. The cubic root of 151448400 is about 533.0339813152.

The spelling of 151448400 in words is "one hundred fifty-one million, four hundred forty-eight thousand, four hundred".