152191977084 has 384 divisors, whose sum is σ = 477969408000. Its totient is φ = 41831354880.

The previous prime is 152191977053. The next prime is 152191977107. The reversal of 152191977084 is 480779191251.

It is a super-2 number, since 2×152191977084² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 152191977084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106204432 + ... + 106205864.

It is an arithmetic number, because the mean of its divisors is an integer number (1244712000).

Almost surely, 2^152191977084 is an apocalyptic number.

152191977084 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 152191977084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238984704000).

152191977084 is an abundant number, since it is smaller than the sum of its proper divisors (325777430916).

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

152191977084 is a wasteful number, since it uses less digits than its factorization.

152191977084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 152191977084 in words is "one hundred fifty-two billion, one hundred ninety-one million, nine hundred seventy-seven thousand, eighty-four".