156406140 has 240 divisors, whose sum is σ = 547392384. Its totient is φ = 37065600.

The previous prime is 156406123. The next prime is 156406147. The reversal of 156406140 is 41604651.

156406140 is a `hidden beast` number, since 1 + 5 + 6 + 40 + 614 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156406147) 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 79 ways as a sum of consecutive naturals, for example, 1193875 + ... + 1194005.

Almost surely, 2^156406140 is an apocalyptic number.

156406140 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 156406140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273696192).

156406140 is an abundant number, since it is smaller than the sum of its proper divisors (390986244).

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

156406140 is a wasteful number, since it uses less digits than its factorization.

156406140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 156406140 is about 12506.2440404783. The cubic root of 156406140 is about 538.7880226106.

The spelling of 156406140 in words is "one hundred fifty-six million, four hundred six thousand, one hundred forty".