152825677901064 has 256 divisors, whose sum is σ = 495508795200000. Its totient is φ = 43625083106304.

The previous prime is 152825677901053. The next prime is 152825677901081. The reversal of 152825677901064 is 460109776528251.

It is a happy number.

152825677901064 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 2 + 567 + 7 + 9 + 0 + 1 + 0 + 64 = 666.

It is a super-2 number, since 2×152825677901064² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 152825677900992 and 152825677901010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81233584 + ... + 83093600.

It is an arithmetic number, because the mean of its divisors is an integer number (1935581231250).

Almost surely, 2^{152825677901064} is an apocalyptic number.

152825677901064 is a gapful number since it is divisible by the number (14) 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 152825677901064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247754397600000).

152825677901064 is an abundant number, since it is smaller than the sum of its proper divisors (342683117298936).

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

152825677901064 is a wasteful number, since it uses less digits than its factorization.

152825677901064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861162 (or 1861138 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 152825677901064 in words is "one hundred fifty-two trillion, eight hundred twenty-five billion, six hundred seventy-seven million, nine hundred one thousand, sixty-four".