149433614976 has 128 divisors (see below), whose sum is σ = 418190860800. Its totient is φ = 47148162048.

The previous prime is 149433614969. The next prime is 149433614977. The reversal of 149433614976 is 679416334941.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×149433614976² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (149433614977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8914635 + ... + 8931381.

It is an arithmetic number, because the mean of its divisors is an integer number (3267116100).

Almost surely, 2^149433614976 is an apocalyptic number.

149433614976 is a gapful number since it is divisible by the number (16) 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 149433614976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209095430400).

149433614976 is an abundant number, since it is smaller than the sum of its proper divisors (268757245824).

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

149433614976 is a wasteful number, since it uses less digits than its factorization.

149433614976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18006 (or 17994 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 57.

The spelling of 149433614976 in words is "one hundred forty-nine billion, four hundred thirty-three million, six hundred fourteen thousand, nine hundred seventy-six".