155956416 has 252 divisors, whose sum is σ = 531458424. Its totient is φ = 40212480.

The previous prime is 155956379. The next prime is 155956433. The reversal of 155956416 is 614659551.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1138300 + ... + 1138436.

It is an arithmetic number, because the mean of its divisors is an integer number (2108962).

Almost surely, 2^155956416 is an apocalyptic number.

155956416 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 155956416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265729212).

155956416 is an abundant number, since it is smaller than the sum of its proper divisors (375502008).

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

155956416 is a wasteful number, since it uses less digits than its factorization.

155956416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 160 counting only the distinct ones).

The product of its digits is 162000, while the sum is 42.

The square root of 155956416 is about 12488.2511185514. The cubic root of 155956416 is about 538.2711236464.

It can be divided in two parts, 1559 and 56416, that added together give a palindrome (57975).

The spelling of 155956416 in words is "one hundred fifty-five million, nine hundred fifty-six thousand, four hundred sixteen".