147901600 has 216 divisors, whose sum is σ = 459533088. Its totient is φ = 46099200.

The previous prime is 147901597. The next prime is 147901609. The reversal of 147901600 is 6109741.

147901600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147901609) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13445595 + ... + 13445605.

It is an arithmetic number, because the mean of its divisors is an integer number (2127468).

Almost surely, 2^147901600 is an apocalyptic number.

147901600 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 147901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229766544).

147901600 is an abundant number, since it is smaller than the sum of its proper divisors (311631488).

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

147901600 is an frugal number, since it uses more digits than its factorization.

147901600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 147901600 is about 12161.4801730710. The cubic root of 147901600 is about 528.8399929166.

The spelling of 147901600 in words is "one hundred forty-seven million, nine hundred one thousand, six hundred".