201297457152 has 520 divisors, whose sum is σ = 690764722560. Its totient is φ = 57768837120.

The previous prime is 201297457139. The next prime is 201297457169. The reversal of 201297457152 is 251754792102.

201297457152 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 9 + 74 + 571 + 5 + 2 = 666.

It is a super-2 number, since 2×201297457152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201297457098 and 201297457107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69339733 + ... + 69342635.

Almost surely, 2^201297457152 is an apocalyptic number.

201297457152 is a gapful number since it is divisible by the number (22) 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 201297457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345382361280).

201297457152 is an abundant number, since it is smaller than the sum of its proper divisors (489467265408).

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

201297457152 is a wasteful number, since it uses less digits than its factorization.

201297457152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 201297457152 in words is "two hundred one billion, two hundred ninety-seven million, four hundred fifty-seven thousand, one hundred fifty-two".