155777664 has 192 divisors, whose sum is σ = 510701760. Its totient is φ = 41803776.

The previous prime is 155777617. The next prime is 155777683. The reversal of 155777664 is 466777551.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319629 + ... + 320115.

It is an arithmetic number, because the mean of its divisors is an integer number (2659905).

Almost surely, 2^155777664 is an apocalyptic number.

155777664 is a gapful number since it is divisible by the number (14) 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 155777664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255350880).

155777664 is an abundant number, since it is smaller than the sum of its proper divisors (354924096).

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

155777664 is a wasteful number, since it uses less digits than its factorization.

155777664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 516 counting only the distinct ones).

The product of its digits is 1234800, while the sum is 48.

The square root of 155777664 is about 12481.0922598946. The cubic root of 155777664 is about 538.0653956060.

The spelling of 155777664 in words is "one hundred fifty-five million, seven hundred seventy-seven thousand, six hundred sixty-four".