155648000 has 136 divisors (see below), whose sum is σ = 408941520. Its totient is φ = 58982400.

The previous prime is 155647963. The next prime is 155648021. The reversal of 155648000 is 846551.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8191991 + ... + 8192009.

Almost surely, 2^155648000 is an apocalyptic number.

155648000 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 155648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204470760).

155648000 is an abundant number, since it is smaller than the sum of its proper divisors (253293520).

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

155648000 is an frugal number, since it uses more digits than its factorization.

155648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 155648000 is about 12475.8967613555. The cubic root of 155648000 is about 537.9160650878.

The spelling of 155648000 in words is "one hundred fifty-five million, six hundred forty-eight thousand".