149776112640 has 1056 divisors, whose sum is σ = 618305356800. Its totient is φ = 30594170880.

The previous prime is 149776112627. The next prime is 149776112653. The reversal of 149776112640 is 46211677941.

It is an interprime number because it is at equal distance from previous prime (149776112627) and next prime (149776112653).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 149776112640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 654044046 + ... + 654044274.

Almost surely, 2^149776112640 is an apocalyptic number.

149776112640 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 149776112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309152678400).

149776112640 is an abundant number, since it is smaller than the sum of its proper divisors (468529244160).

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

149776112640 is a wasteful number, since it uses less digits than its factorization.

149776112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 149776112640 in words is "one hundred forty-nine billion, seven hundred seventy-six million, one hundred twelve thousand, six hundred forty".