151484400 has 180 divisors, whose sum is σ = 544195080. Its totient is φ = 38976000.

The previous prime is 151484353. The next prime is 151484407. The reversal of 151484400 is 4484151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151484407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103675 + ... + 105125.

It is an arithmetic number, because the mean of its divisors is an integer number (3023306).

Almost surely, 2^151484400 is an apocalyptic number.

151484400 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 151484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272097540).

151484400 is an abundant number, since it is smaller than the sum of its proper divisors (392710680).

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

151484400 is a wasteful number, since it uses less digits than its factorization.

151484400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1490 counting only the distinct ones).

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

The square root of 151484400 is about 12307.8999020954. The cubic root of 151484400 is about 533.0762128675.

The spelling of 151484400 in words is "one hundred fifty-one million, four hundred eighty-four thousand, four hundred".