156406096 has 80 divisors (see below), whose sum is σ = 382832640. Its totient is φ = 60128640.

The previous prime is 156406091. The next prime is 156406121. The reversal of 156406096 is 690604651.

156406096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×156406096² = 48925733731922432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156406091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96525 + ... + 98131.

It is an arithmetic number, because the mean of its divisors is an integer number (4785408).

Almost surely, 2^156406096 is an apocalyptic number.

156406096 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 156406096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191416320).

156406096 is an abundant number, since it is smaller than the sum of its proper divisors (226426544).

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

156406096 is a wasteful number, since it uses less digits than its factorization.

156406096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 156406096 is about 12506.2422813569. The cubic root of 156406096 is about 538.7879720869.

It can be divided in two parts, 15640 and 6096, that added together give a triangular number (21736 = T₂₀₈).

The spelling of 156406096 in words is "one hundred fifty-six million, four hundred six thousand, ninety-six".