148957272490752 has 2304 divisors, whose sum is σ = 537094914048000. Its totient is φ = 40202970071040.

The previous prime is 148957272490711. The next prime is 148957272490781. The reversal of 148957272490752 is 257094272759841.

148957272490752 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 572 + 7 + 2 + 49 + 0 + 7 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 331753390624 + ... + 331753391072.

It is an arithmetic number, because the mean of its divisors is an integer number (233114112000).

Almost surely, 2^{148957272490752} is an apocalyptic number.

148957272490752 is a gapful number since it is divisible by the number (12) 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 148957272490752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268547457024000).

148957272490752 is an abundant number, since it is smaller than the sum of its proper divisors (388137641557248).

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

148957272490752 is a wasteful number, since it uses less digits than its factorization.

148957272490752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 148957272490752 in words is "one hundred forty-eight trillion, nine hundred fifty-seven billion, two hundred seventy-two million, four hundred ninety thousand, seven hundred fifty-two".