149755098240 has 768 divisors, whose sum is σ = 592237296000. Its totient is φ = 35728957440.

The previous prime is 149755098161. The next prime is 149755098247. The reversal of 149755098240 is 42890557941.

It is a happy number.

149755098240 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 550 + 9 + 82 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (149755098247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140088426 + ... + 140089494.

Almost surely, 2^149755098240 is an apocalyptic number.

149755098240 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 149755098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296118648000).

149755098240 is an abundant number, since it is smaller than the sum of its proper divisors (442482197760).

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

149755098240 is a wasteful number, since it uses less digits than its factorization.

149755098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 149755098240 in words is "one hundred forty-nine billion, seven hundred fifty-five million, ninety-eight thousand, two hundred forty".