155652000 has 384 divisors, whose sum is σ = 622702080. Its totient is φ = 33177600.

The previous prime is 155651941. The next prime is 155652001. The reversal of 155652000 is 256551.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (155652001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1427946 + ... + 1428054.

It is an arithmetic number, because the mean of its divisors is an integer number (1621620).

Almost surely, 2^155652000 is an apocalyptic number.

155652000 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 155652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311351040).

155652000 is an abundant number, since it is smaller than the sum of its proper divisors (467050080).

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

155652000 is a wasteful number, since it uses less digits than its factorization.

155652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 155652000 is about 12476.0570694431. The cubic root of 155652000 is about 537.9206730190.

The spelling of 155652000 in words is "one hundred fifty-five million, six hundred fifty-two thousand".