158212454400 has 2160 divisors, whose sum is σ = 776571311880. Its totient is φ = 30346444800.

The previous prime is 158212454381. The next prime is 158212454401. The reversal of 158212454400 is 4454212851.

158212454400 is a `hidden beast` number, since 1 + 5 + 8 + 2 + 1 + 245 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158212454401) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 12170188794 + ... + 12170188806.

Almost surely, 2^158212454400 is an apocalyptic number.

158212454400 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 158212454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388285655940).

158212454400 is an abundant number, since it is smaller than the sum of its proper divisors (618358857480).

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

158212454400 is a wasteful number, since it uses less digits than its factorization.

158212454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 158212454400 in words is "one hundred fifty-eight billion, two hundred twelve million, four hundred fifty-four thousand, four hundred".