147193200 has 600 divisors, whose sum is σ = 669778560. Its totient is φ = 30067200.

The previous prime is 147193103. The next prime is 147193201. The reversal of 147193200 is 2391741.

It is a tau number, because it is divible by the number of its divisors (600).

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 (147193201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2494771 + ... + 2494829.

Almost surely, 2^147193200 is an apocalyptic number.

147193200 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 147193200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334889280).

147193200 is an abundant number, since it is smaller than the sum of its proper divisors (522585360).

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

147193200 is a wasteful number, since it uses less digits than its factorization.

147193200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 147193200 is about 12132.3204705448. The cubic root of 147193200 is about 527.9943181207.

The spelling of 147193200 in words is "one hundred forty-seven million, one hundred ninety-three thousand, two hundred".