147996900 has 162 divisors, whose sum is σ = 493646790. Its totient is φ = 37079040.

The previous prime is 147996899. The next prime is 147996911. The reversal of 147996900 is 9699741.

147996900 is a `hidden beast` number, since 1 + 479 + 96 + 90 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 24920064 + 123076836 = 4992^2 + 11094^2 .

It is a super-2 number, since 2×147996900² = 43806164819220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 259816 + ... + 260384.

Almost surely, 2^147996900 is an apocalyptic number.

147996900 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 147996900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246823395).

147996900 is an abundant number, since it is smaller than the sum of its proper divisors (345649890).

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

147996900 is a wasteful number, since it uses less digits than its factorization.

147996900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 147996900 is about 12165.3976507141. The cubic root of 147996900 is about 528.9535540737.

The spelling of 147996900 in words is "one hundred forty-seven million, nine hundred ninety-six thousand, nine hundred".