152454400000 has 576 divisors, whose sum is σ = 451444855680. Its totient is φ = 50380800000.

The previous prime is 152454399971. The next prime is 152454400013. The reversal of 152454400000 is 4454251.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1836799959 + ... + 1836800041.

It is an arithmetic number, because the mean of its divisors is an integer number (783758430).

Almost surely, 2^152454400000 is an apocalyptic number.

152454400000 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 152454400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225722427840).

152454400000 is an abundant number, since it is smaller than the sum of its proper divisors (298990455680).

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

152454400000 is an frugal number, since it uses more digits than its factorization.

152454400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 152454400000 its reverse (4454251), we get a palindrome (152458854251).

The spelling of 152454400000 in words is "one hundred fifty-two billion, four hundred fifty-four million, four hundred thousand".