155200640 has 160 divisors (see below), whose sum is σ = 437124060. Its totient is φ = 52684800.

The previous prime is 155200637. The next prime is 155200651. The reversal of 155200640 is 46002551.

It can be written as a sum of positive squares in 2 ways, for example, as 147671104 + 7529536 = 12152^2 + 2744^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable 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 19 ways as a sum of consecutive naturals, for example, 1536590 + ... + 1536690.

Almost surely, 2^155200640 is an apocalyptic number.

155200640 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 155200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218562030).

155200640 is an abundant number, since it is smaller than the sum of its proper divisors (281923420).

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

155200640 is an frugal number, since it uses more digits than its factorization.

155200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 155200640 is about 12457.9548883434. The cubic root of 155200640 is about 537.4002151163.

The spelling of 155200640 in words is "one hundred fifty-five million, two hundred thousand, six hundred forty".