158420416 has 224 divisors, whose sum is σ = 435400704. Its totient is φ = 55296000.

The previous prime is 158420413. The next prime is 158420429. The reversal of 158420416 is 614024851.

158420416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×158420416² = 50194056411226112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158420413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2597026 + ... + 2597086.

Almost surely, 2^158420416 is an apocalyptic number.

158420416 is a gapful number since it is divisible by the number (16) 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 158420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217700352).

158420416 is an abundant number, since it is smaller than the sum of its proper divisors (276980288).

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

158420416 is a wasteful number, since it uses less digits than its factorization.

158420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 158420416 is about 12586.5172307513. The cubic root of 158420416 is about 541.0910906782.

The spelling of 158420416 in words is "one hundred fifty-eight million, four hundred twenty thousand, four hundred sixteen".