152061600 has 144 divisors (see below), whose sum is σ = 524216448. Its totient is φ = 38154240.

The previous prime is 152061571. The next prime is 152061607. The reversal of 152061600 is 6160251.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (152061607) 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, 38937 + ... + 42663.

It is an arithmetic number, because the mean of its divisors is an integer number (3640392).

Almost surely, 2^152061600 is an apocalyptic number.

152061600 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 152061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262108224).

152061600 is an abundant number, since it is smaller than the sum of its proper divisors (372154848).

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

152061600 is a wasteful number, since it uses less digits than its factorization.

152061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 152061600 is about 12331.3259627665. The cubic root of 152061600 is about 533.7524136662.

The spelling of 152061600 in words is "one hundred fifty-two million, sixty-one thousand, six hundred".