149617765440 has 896 divisors, whose sum is σ = 627995289600. Its totient is φ = 33054842880.

The previous prime is 149617765387. The next prime is 149617765483. The reversal of 149617765440 is 44567716941.

It is a happy number.

149617765440 is a `hidden beast` number, since 1 + 4 + 96 + 1 + 7 + 7 + 6 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102547431 + ... + 102548889.

It is an arithmetic number, because the mean of its divisors is an integer number (700887600).

Almost surely, 2^149617765440 is an apocalyptic number.

149617765440 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 149617765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313997644800).

149617765440 is an abundant number, since it is smaller than the sum of its proper divisors (478377524160).

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

149617765440 is a wasteful number, since it uses less digits than its factorization.

149617765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 149617765440 in words is "one hundred forty-nine billion, six hundred seventeen million, seven hundred sixty-five thousand, four hundred forty".