149461312000 has 640 divisors, whose sum is σ = 500610958848. Its totient is φ = 42983424000.

The previous prime is 149461311991. The next prime is 149461312001. The reversal of 149461312000 is 213164941.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×149461312000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (149461312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64062834 + ... + 64065166.

Almost surely, 2^149461312000 is an apocalyptic number.

149461312000 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 149461312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250305479424).

149461312000 is an abundant number, since it is smaller than the sum of its proper divisors (351149646848).

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

149461312000 is a wasteful number, since it uses less digits than its factorization.

149461312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Adding to 149461312000 its reverse (213164941), we get a palindrome (149674476941).

The spelling of 149461312000 in words is "one hundred forty-nine billion, four hundred sixty-one million, three hundred twelve thousand".