156948 has 48 divisors (see below), whose sum is σ = 423360. Its totient is φ = 44800.

The previous prime is 156943. The next prime is 156967. The reversal of 156948 is 849651.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a cake number, because a cake can be divided into 156948 parts by 98 planar cuts.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 156948.

It is not an unprimeable number, because it can be changed into a prime (156941) by changing a digit.

156948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3808 + ... + 3848.

It is an arithmetic number, because the mean of its divisors is an integer number (8820).

2¹⁵⁶⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211680).

156948 is an abundant number, since it is smaller than the sum of its proper divisors (266412).

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

156948 is a wasteful number, since it uses less digits than its factorization.

156948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 86 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 156948 is about 396.1666316085. The cubic root of 156948 is about 53.9409505416.

The spelling of 156948 in words is "one hundred fifty-six thousand, nine hundred forty-eight".