147992400 has 240 divisors, whose sum is σ = 536929920. Its totient is φ = 38707200.

The previous prime is 147992381. The next prime is 147992441. The reversal of 147992400 is 4299741.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×147992400³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 766704 + ... + 766896.

It is an arithmetic number, because the mean of its divisors is an integer number (2237208).

Almost surely, 2^147992400 is an apocalyptic number.

147992400 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 147992400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268464960).

147992400 is an abundant number, since it is smaller than the sum of its proper divisors (388937520).

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

147992400 is a wasteful number, since it uses less digits than its factorization.

147992400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 147992400 is about 12165.2126985105. The cubic root of 147992400 is about 528.9481928913.

The spelling of 147992400 in words is "one hundred forty-seven million, nine hundred ninety-two thousand, four hundred".