158742400 has 96 divisors (see below), whose sum is σ = 396514800. Its totient is φ = 62791680.

The previous prime is 158742383. The next prime is 158742401. The reversal of 158742400 is 4247851.

158742400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158742401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 361381 + ... + 361819.

Almost surely, 2^158742400 is an apocalyptic number.

158742400 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 158742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198257400).

158742400 is an abundant number, since it is smaller than the sum of its proper divisors (237772400).

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

158742400 is a wasteful number, since it uses less digits than its factorization.

158742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 158742400 is about 12599.3015679442. The cubic root of 158742400 is about 541.4574255598.

The spelling of 158742400 in words is "one hundred fifty-eight million, seven hundred forty-two thousand, four hundred".