149947200000 has 1200 divisors, whose sum is σ = 609205461480. Its totient is φ = 36495360000.

The previous prime is 149947199893. The next prime is 149947200023. The reversal of 149947200000 is 2749941.

It can be written as a sum of positive squares in 12 ways, for example, as 120137105664 + 29810094336 = 346608^2 + 172656^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1684799956 + ... + 1684800044.

Almost surely, 2^149947200000 is an apocalyptic number.

149947200000 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 149947200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304602730740).

149947200000 is an abundant number, since it is smaller than the sum of its proper divisors (459258261480).

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

149947200000 is an frugal number, since it uses more digits than its factorization.

149947200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 112 counting only the distinct ones).

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

Adding to 149947200000 its reverse (2749941), we get a palindrome (149949949941).

The spelling of 149947200000 in words is "one hundred forty-nine billion, nine hundred forty-seven million, two hundred thousand".