1620145152 has 264 divisors, whose sum is σ = 5150186496. Its totient is φ = 506953728.

The previous prime is 1620145151. The next prime is 1620145187. The reversal of 1620145152 is 2515410261.

1620145152 is a `hidden beast` number, since 1 + 6 + 201 + 451 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1620145151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4229953 + ... + 4230335.

Almost surely, 2^1620145152 is an apocalyptic number.

1620145152 is a gapful number since it is divisible by the number (12) 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 1620145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575093248).

1620145152 is an abundant number, since it is smaller than the sum of its proper divisors (3530041344).

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

1620145152 is an equidigital number, since it uses as much as digits as its factorization.

1620145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1620145152 is about 40251.0267198242. The cubic root of 1620145152 is about 1174.4953685171.

The spelling of 1620145152 in words is "one billion, six hundred twenty million, one hundred forty-five thousand, one hundred fifty-two".